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finite element method:a hitchhiker‘s guide

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agenda

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0 introduction

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0 introduction

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0 introduction

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1 variational principle

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1.1 elliptic pde

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1.1 elliptic pde

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1.1 a theorem

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1.2 remarks

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1.2 remarks

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1.3 an example

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1.3 an example

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1.3 boundary conditions

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1.3 boundary conditions

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2 the ritz method

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2 the ritz method

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2 the ritz method

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2.1 the example

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2.1 the example

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2.2 remarks on ritz

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3 finite element method

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3 finite element method

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3.1 fem - discretisation

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3.2 fem - ansatz function

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3.3 fem - element type

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3.4 fem - basis example

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3.4 fem - basis example

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3.5 benefits of fe basis

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3.6 the complete fem

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3.7 remarks on fem

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3.7 remarks on fem

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3.8 an example at last

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3.8 an example at last

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3.8 an example at last

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.005

0.01

0.015

0.02

0.025

0.03

0.035

0.04

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finite element method