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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025

Numerical Solution of Partial Differential Equations with Finite Element Method

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Code Completion Credits Range Language
W01TZ007 ZK 65P Czech
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Department of Technical Mathematics
Synopsis:

Variational formulation of boundary value problems of partial differential equations, weak formulation, mathematical background of finite element method.

Weak and classical solutions.

A priori error estimate.

A construction of the finite element space.

Application of finite element method for elliptic, parabolic and hyperbolic partial differential equations.

Problems in 1D, 2D.

Application of the finite element method for heat conduction, wave equation, convection-diffusion problems, Stokes problem and Navier-Stokes equations.

Requirements:
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Study materials:

Sváček, P., Feistauer, M.: Metoda konečných prvků, 2006, Vydavatelství ČVUT.

Johnson, C.: Numerical Solution of Partial Differential Equation by the Finite Element Method, 1987, Cambridge University Press.

P. G. Ciarlet, The Finite Element Method for Elliptic Problems, SIAM, 2002 (2nd edition).

Míka, S., Přikryl, P.: Numerické metody řešení parciálních diferenciálních rovnic, 1995, ZČU Plzeň.

Vitásek, E.: Numerické metody, 1987, SNTL.

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Data valid to 2024-04-23
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