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title: "Week 3: Computational methods for time-dependent Partial Differential Equations" | ||
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<!-- In-Class Session <a href="https://tudelft-citg.github.io/HOS-prob-design/homework/HW_05_assignment.html" target="_blank">HW 5 Due</a>{: .label .label-red } --> | ||
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Lecture | ||
: Introduction to Finite Differences for time-dependent PDEs & Introduction to Finite Elements for time-dependent PDEs | ||
<br><em>Wednesday, 08:45-12:45, Flux Hall D</em> | ||
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Homework | ||
: Study content of week 3 | ||
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Workshop | ||
: Workshop 6, Workshop 7, Workshop 8 | ||
<br><em>Wednesday, 08:45-12:45, Flux Hall D</em> | ||
<br><em>Thursday, 13:45-15:45, Flux Hall D</em> | ||
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<!-- Holidays | ||
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At the end of this week you will be able to: <br> | ||
Define and analyze numerical methods to solve systems governed by Partial Differential Equations. This entails:<br> | ||
<i>1. Define the system of PDEs that characterize the behaviour of structures composed by rods and beams</i><br> | ||
<i>2. Define numerical methods to solve a system of PDEs</i> <br> | ||
<i>3. Implement a solver for a system of PDEs</i><br> | ||
<i>4. Analyse and justify the results</i><br> | ||
{: .learningobjectives } | ||
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Week 3. Computational methods for time-dependent Partial Differential Equations [[pdf]](https://surfdrive.surf.nl/files/index.php/s/Jm8e95QGRS97bDq/download?path=%2FWeek3&files=3_1_Numerical_methods_for_PDEs.pdf):<br> | ||
<i>1. Introduction to Finite Differences for time-dependent PDEs</i><br> | ||
<i>2. Introduction to Finite Elements for time-dependent PDEs ([6.4](https://teachbooks.tudelft.nl/computational-modelling/dynamics/semi_discrete.html) and [6.5](https://teachbooks.tudelft.nl/computational-modelling/dynamics/time_steppers.html))</i> <br> | ||
<i>3. Theory: Beam equation [4.1](https://teachbooks.tudelft.nl/computational-modelling/structural_linear/euler_bernouilli.html)</i> <br> | ||
<i>4. Theory: Space frames [4.3](https://teachbooks.tudelft.nl/computational-modelling/structural_linear/space_frame.html)</i> <br> | ||
{: .content } | ||
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[Workshop 6](https://teachbooks.tudelft.nl/computational-modelling/dynamics/Exercises/Workshop_FEM_dyn_rod.html)<br> | ||
[Workshop 7](https://teachbooks.tudelft.nl/computational-modelling/structural_linear/Exercises/Workshop_FEM_dyn_beam.html)<br> | ||
[Workshop 8](https://teachbooks.tudelft.nl/computational-modelling/structural_linear/Exercises/Workshop_FEM_dyn_space_frames.html)<br> | ||
{: .exercises } |