Rajesh Bhaskaran’s work seeks to promote the “democratization of simulation” through effective integration of simulation tools into engineering education. He directs the Swanson Lab and has helped introduce industry-standard simulation tools into Cornell courses covering fluid mechanics, heat transfer, solid mechanics, and numerical analysis. Dr. Bhaskaran has led the development of SimCafe.org as an online portal for learning and teaching finite-element and CFD simulations. SimCafe is used worldwide in courses as well as for self-paced learning by students and industry professionals. Dr. Bhaskaran has developed a unified methodology for using simulation in disparate lecture-based and lab courses. This methodology teaches students to approach simulations like an expert rather than just pushing buttons and accepting results at face value. Dr. Bhaskaran’s professional interests include engineering applications of simulation technology, reliable deployment of advanced simulation by generalist engineers, and conceptual change in learners using simulations. He has organized two international workshops on simulation in engineering curricula.
Finite Element AnalysisCornell Certificate Program
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Overview and Courses
When challenges arise in design, it is crucial for engineers and their teams to have the right awareness and skill set to solve complex problems like an expert. Using finite element analysis (FEA), you can predict how a part or assembly will behave under given conditions, setting you up to innovate computationally.
In this certificate program, you will build your conceptual understanding of finite element-based simulations. As you do, you will gain hands-on experience, from solving simple structural problems using Ansys Mechanical to solving practical problems that involve elasticity and plasticity with realistic geometries and loads. You will also solve applied problems using methods such as beam and shell analysis as well as modal and random vibration analysis. By the end of this certificate program, you will have the foundational skills to build reliable and valid FEA simulations for practical problem solving in your career ahead.
You’ll be most successful in this program if you have a basic knowledge of differential and integral calculus and Newton’s second law as well as some prior exposure to statistics.
We strongly recommend you use a desktop version of Ansys. If you don’t already have access to Ansys, be sure your machine meets the following hardware requirements in order to download and use the free student desktop version of Ansys:
- Supported platforms and operating systems: Microsoft Windows 10, 64-bit
- Minimum hardware requirements: Workstation class processor, 4 GB RAM, 25 GB hard drive space, Computer must have a physical C:/” drive present, professional workstation class 3-D graphics card and driver, OpenGL-capable.
If your machine does not meet these requirements, you may also use an online version of Ansys. Be sure you meet the following bandwidth requirements: 5Mbps download speed and 100 ms maximum roundtrip latency.
For the best experience in this program it is strongly recommended to take these courses in the order that they appear.
Course list
Finite element analysis (FEA) is a computational technique used to predict how a part or assembly behaves under given conditions, thus reducing the need for physical prototypes in product design while enabling the exploration of a large number of potential designs. It can be used, for example, to simulate the buckling of a wind turbine blade, the deformation of a pressure vessel, or the vibrational response of an electronics enclosure; these are all problems that can be solved computationally that would otherwise be impossible to do by hand. FEA also helps you generate clear visual representations of your solution that make interpretation by humans much easier and enable us to develop physical intuition. To ensure that your solutions accurately represent reality, however, you first need to understand how the "black box" of your modeling software functions and have methods to verify and validate your results.
In this course, you will investigate the major elements of what is inside the black box to gain a deep conceptual understanding of how FEA software produces solutions. This will help you build an intuitive understanding of the fundamental mathematical models and physics underlying simulations of static and dynamic behavior of engineering structures. You will also familiarize yourself with the numerical solution strategy employed to solve the mathematical models using the finite element method as well as how to minimize errors. Ultimately, this course will prepare you to build reliable and valid FEA simulations for practical problems using industry-standard simulation software such as Ansys.
- Jun 3, 2026
- Aug 26, 2026
- Nov 18, 2026
- Feb 10, 2027
- May 5, 2027
Professor Bhaskaran's framework for solving finite element problems can be applied to an array of situations and contexts. Here, you will have the opportunity to practice applying this framework and begin creating simulations using Ansys. This course has been designed with a focus on problem-based learning: First, you will work on a "bar in extension" problem in Ansys, with Professor Bhaskaran's video demonstrations to help guide you. You will then practice solving a challenge problem on your own.
To get the most out of the experience, you should work through each phase of the problem and reach out to your peers or course facilitator when you are stuck. Once you have completed the “bar in extension” problem, you'll be ready to take on a new but similar challenge: bar under gravity force. This challenge problem will require you to apply the same concepts and techniques that you practiced in the example problem but without videos to guide you. You'll be required to answer graded questions at each stage of the process. Your final simulation will be a product of your own efforts and will give you the confidence to begin working on more complex problems in finite element analysis.
You are required to have completed the following course or have equivalent experience before taking this course:
- Conceptual Foundations of Finite Element Analysis
- Jun 17, 2026
- Sep 9, 2026
- Dec 2, 2026
- Feb 24, 2027
- May 19, 2027
Professor Bhaskaran's framework for solving finite element problems can be applied to an array of situations and contexts. To practice applying this framework and create simulations using Ansys, your effort in this course will be focused on problem-based learning. You will explore the big ideas in 3D elasticity then apply them to solve an example static structural problem in Ansys. The example problem will involve analyzing a pressure vessel with a realistic geometry and loads. The geometry will be provided to you as a CAD file. As we set up and solve the simulation in Ansys, we'll keep returning to the big ideas to make sense of the Ansys inputs and outputs. You will follow along in Ansys as Professor Bhaskaran demonstrates best practices for simulating static structural applications. Your final simulation will be a product of your own efforts and will give you the confidence to create reliable static structural simulations.
You are required to have completed the following courses or have equivalent experience before taking this course:
- Conceptual Foundations of Finite Element Analysis
- Ansys Mechanical Concepts and Implementation
- Jul 1, 2026
- Sep 23, 2026
- Dec 16, 2026
- Mar 10, 2027
- Jun 2, 2027
Professor Bhaskaran's framework for solving finite element problems can be applied to an array of situations and contexts. In order to practice applying this framework and create simulations using Ansys, your effort in this course will be focused on problem-based learning. You will examine the big ideas in beam and shell theories which are the basis for many practical static and dynamic simulations. Shell theory details are complex, but we can understand the underlying concepts as an extension of beam theory. You will apply the big ideas in shell theory to solve a practical problem in Ansys, namely a wind turbine blade with realistic geometry and loads.
Professor Bhaskaran will walk you through solving the wind turbine blade example problem in Ansys. The geometry will be provided to you as a CAD file. As you set up and solve the simulation in Ansys, you'll continue to refer back to the big ideas to make sense of the Ansys inputs and outputs. You will follow along in Ansys as Professor Bhaskaran demonstrates best practices for simulating practical shell problems. Your final simulation will be a product of your own efforts and will give you the confidence to create reliable beam and shell simulations.
You are required to have completed the following courses or have equivalent experience before taking this course:
- Conceptual Foundations of Finite Element Analysis
- Ansys Mechanical Concepts and Implementation
- Elasticity Applications
- Jul 15, 2026
- Oct 7, 2026
- Dec 30, 2026
- Mar 24, 2027
- Jun 16, 2027
Vibration is an important consideration in many engineering applications, including compressors, turbines, gears, and bearings. Modal analysis is used to predict the natural frequencies of the structure. Knowing these frequencies, the engineer can design the structure to avoid resonance leading to catastrophic failure. You will explore the big ideas in modal analysis by extending 3D elasticity concepts then apply those big ideas to solve a practical problem in Ansys: predicting the natural frequencies and mode shapes for a turbine disk with blades.
Professor Bhaskaran will walk you through solving the “turbine disk with blades" example problem in Ansys. The geometry will be provided to you as a CAD file. As you set up and solve this vibration simulation in Ansys, you'll continue to refer back to the big ideas in modal analysis to make sense of the Ansys inputs and outputs. You will follow along in Ansys as Professor Bhaskaran demonstrates best practices for simulating vibration problems. Your final simulation will be a product of your own efforts and will give you the confidence to create reliable vibration simulations.
You are required to have completed the following courses or have equivalent experience before taking this course:
- Conceptual Foundations of Finite Element Analysis
- Ansys Mechanical Concepts and Implementation
- Elasticity Applications
- Beam and Shell Applications
- Jul 29, 2026
- Oct 21, 2026
- Jan 13, 2027
- Apr 7, 2027
- Jun 30, 2027
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Key Course Takeaways
- Build your conceptual understanding of finite element-based simulations
- Solve a simple structural problem using Ansys Mechanical
- Solve practical problems that involve elasticity and plasticity with realistic geometries and loads
- Solve practical problems such as wind turbine blade buckling using beam and shell analysis
- Solve practical vibration problems (turbine blade and disk, beam, aviation electronics) using modal and random vibration analysis

Download a Brochure
Not ready to enroll but want to learn more? Download the certificate brochure to review program details.
What You'll Earn
- Finite Element Analysis Certificate from Cornell Duffield College of Engineering
- 70 Professional Development Hours (7 CEUs)
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Who Should Enroll
- Mechanical engineers
- Simulation engineers
- Civil engineers
- Aerospace engineers
- Prospective engineers
- Biomedical engineers
- Design engineers
- Undergraduate and graduate students in engineering
Frequently Asked Questions
Modern engineering teams are expected to move fast, iterate digitally, and make high-stakes design decisions with fewer physical prototypes. That only works when your simulations are trustworthy and you can explain, defend, and improve them.
Authored by faculty from the Cornell Duffield College of Engineering, Cornell’s Finite Element Analysis Certificate helps you build the conceptual foundations behind finite element analysis and then put those foundations into practice in Ansys Mechanical. You will learn how governing equations, boundary conditions, discretization, solver strategy, post-processing, and verification and validation fit together, so you can go beyond pushing buttons and start building simulation judgment.
You will work through applied, problem-based activities that mirror real analysis workflows, including comparing hand calculations to software results and using error-reduction approaches like mesh refinement and higher-order elements.
If you want stronger simulation intuition, hands-on Ansys practice, and a repeatable workflow for building reliable FEA results, you should choose Cornell’s Finite Element Analysis Certificate.
Many online FEA offerings lean heavily on self-paced videos and tool walkthroughs, which can leave you able to follow steps without understanding why those steps work or how to check results. Cornell’s Finite Element Analysis Certificate is built to help you develop both the why and the how.
You learn in a small, cohort-based environment with expert facilitation, including guided discussions and personalized feedback on graded work. That human-centered structure supports the kind of iterative learning FEA requires, especially when you are troubleshooting model setup choices and interpreting results.
The Finite Element Analysis Certificate is also intentionally designed to connect theory to implementation. You start by solving simplified finite element problems by hand to see what the solver is doing, then replicate and extend that workflow in Ansys, and later apply the same verification mindset to more realistic models (for example, static structural and vibration problems with realistic geometry, loads, and boundary conditions).
By combining faculty-designed curriculum, expert facilitator feedback, and applied verification habits, Cornell’s Finite Element Analysis Certificate helps you build simulation confidence you can bring back to your engineering work.
Enrolling in this certificate also provides you with a 6-month All-Access Pass to eCornell's live online AI Workshops, interactive sessions led by world-class Cornell faculty that combine Ivy League insight with practical applications for busy professionals. Each 3-hour Workshop features structured instruction, guided practice, and real tools to build competitive AI capabilities, plus the opportunity to connect with a global cohort of growth-oriented peers. While AI Workshops are not required, they enhance certificate programs through:
- Integrating AI perspectives across most curricula
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- Offering direct engagement with Cornell faculty at the forefront of AI research
Cornell’s Finite Element Analysis Certificate is a strong fit if you want to build or refresh practical FEA capability and you learn best by connecting fundamentals to real simulation workflows. The program is designed for engineers and engineering students who need to predict structural behavior under loads, validate simulation output, and communicate results clearly.
You are a good match if you are working in or moving toward roles such as:
- Mechanical, civil, aerospace, biomedical, or design engineering
- Simulation and analysis engineering
- Product development roles where you collaborate with CAE or need to interpret simulation results
For readiness, you will be most successful with a basic knowledge of differential and integral calculus and Newton’s second law, plus some prior exposure to statistics, since the Finite Element Analysis Certificate emphasizes how the underlying math and physics connect to what you see in Ansys.
Across Cornell’s Finite Element Analysis Certificate, your work centers on solving complete analysis problems end to end, from modeling assumptions through verification. Typical projects and graded submissions include:
- A hand-worked finite element solution for a gravity-loaded 1-D bar problem, including assembling a multi-element stiffness matrix, solving for nodal displacements, and post-processing stress and reactions
- A guided Ansys Mechanical simulation of a bar under axial loading, with exported plots and tables used to verify boundary conditions, displacement results, stress output, and support reactions
- An independent Ansys simulation of a gravity-loaded bar problem, where you make the core setup choices yourself and answer graded questions at each stage
- A 3-D static structural Ansys simulation of a pressure vessel with realistic loads (including internal pressure and gravity), plus verification using global equilibrium and mesh refinement
- A shell-model simulation of a wind turbine blade in Ansys, including realistic geometry and loads and interpretation of deformation and strain results
- A modal analysis simulation of a turbine disk sector with blades, including natural frequencies and mode shapes and verification checks such as trend validation and mesh sensitivity
By the end of Cornell’s Finite Element Analysis Certificate, you will have practiced a repeatable FEA workflow that you can adapt to many structural and vibration problems you encounter on the job.
Cornell’s Finite Element Analysis Certificate helps you build credible simulation skills you can use to contribute more confidently to design and analysis decisions.
After completing the Finite Element Analysis Certificate, you will be prepared to:
- Build your conceptual understanding of finite element-based simulations
- Solve a simple structural problem using Ansys Mechanical
- Solve practical problems that involve elasticity and plasticity with realistic geometries and loads
- Solve practical problems such as wind turbine blade buckling using beam and shell analysis
- Solve practical vibration problems (turbine blade and disk, beam, aviation electronics) using modal and random vibration analysis
Students consistently describe the experience as a well-structured, theory-to-practice program that builds real confidence in applying the finite element method and running simulations in Ansys. Learners frequently highlight that the program makes FEA easier to reason about, strengthens the connection between fundamentals and the practical Ansys workflow, and reinforces learning through relevant assignments, quizzes, and a meaningful end-to-end project experience supported by responsive facilitation.
What truly sets eCornell apart is how our programs unlock genuine career transformation. Learners earn promotions to senior positions, enjoy meaningful salary growth, build valuable professional networks, and navigate successful career transitions.
Cornell’s Finite Element Analysis Certificate, which consists of 5 short courses, is designed to be completed in 3 months. Each course runs for 2 weeks, with a typical weekly time commitment of 5 to 7 hours.
Much of the learning is asynchronous, so you can watch videos, complete readings, and work on assignments when it fits your week, while still benefiting from a structured course timeline, facilitated discussion, and scheduled live learning opportunities when offered.
Students in Cornell's Finite Element Analysis Certificate consistently describe it as a well-structured, theory-to-practice program that builds real confidence in applying the finite element method and running simulations in Ansys.
They often highlight outcomes such as:
- A clear, step-by-step foundation in what FEA is and how the method works
- A strong connection between FEA theory and the practical workflow in Ansys
- Hands-on modeling and analysis practice that mirrors real engineering tasks
- A meaningful project experience that helps solidify the full FEA process end to end
- An effective blend of conceptual understanding and simulation execution
Across the Finite Element Analysis Certificate program, learners also frequently mention:
- Lectures that are precise, easy to follow, and well supported by visuals
- Clear, concise video instruction that makes complex topics approachable
- A pace that works well for both newcomers and professionals refreshing their skills
- Relevant assignments and quizzes that reinforce key concepts
- Highly responsive facilitators and support staff who help students stay on track
- An online platform that is intuitive and easy to navigate, with flexibility to learn on your schedule
Because the program includes hands-on simulation work in Ansys, your setup matters. Cornell’s Finite Element Analysis Certificate strongly recommends using a desktop version of Ansys, and you can use the free Ansys Student version if you don’t already have access.
For the desktop student version, you should plan for a Windows 10 (64-bit) machine with at least 4 GB RAM, about 25 GB of available hard drive space, and an OpenGL-capable graphics card and driver. If your computer does not meet those requirements, you can use an online version of Ansys instead, with a recommended connection of about 5 Mbps download speed and 100 ms maximum roundtrip latency.
Prior Ansys experience is not required to benefit from Cornell’s Finite Element Analysis Certificate, because the program starts by building the fundamental ideas behind FEA and then demonstrates how those ideas show up in Ansys setup and results.
You will be most successful in the Finite Element Analysis Certificate program if you are comfortable with basic differential and integral calculus and Newton’s second law, since the program connects physical laws to governing equations and then to the numerical solution process. The early work also emphasizes verification and validation concepts so you can interpret software output with more confidence as the simulations become more realistic.
The skills you build in Cornell’s Finite Element Analysis Certificate are aimed at common structural and vibration analysis tasks where simulation is used to guide design decisions. You will practice translating an engineering question into a model, choosing boundary conditions and mesh strategy, solving, and then verifying results.
By working through the Finite Element Analysis Certificate program’s applied examples, you will be prepared to model problems such as:
- Static structural response under loads like pressure, gravity, and applied forces
- Thin-walled structures using beam and shell modeling approaches
- Vibration behavior using modal analysis to compute natural frequencies and mode shapes
Just as importantly, you will learn practical verification habits, including reaction checks, trend validation, and mesh refinement, so your results are easier to trust and communicate.
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