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Zoom Recording ID: 85112571414
UUID: lX2qN92gQvuMQAssKZkwnQ==
Meeting Time: 2021-03-01T08:19:33Z
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Implementation notes on P1-isoP2/P1 elements (inf-sup stable space)
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Overview of stable spaces obtained enrichin(P1/P1)P1-bubble/P1 MinielementP1-iso-P2/P1 spaces Stabilization techniques for unstable spaces GLS
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Overview of stable and unstable Vh/Qh spaces P1/P1 P1/P0 Pk/Pk-1 (K>=2) Taylor-Hood spaces
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Stokes Problem: -FEM formulation -Well posedness (Fortin's lemma)
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Stokes problem: - strong and weak formulation - saddle point problem - p as Lagrange multiplier - Well posedness
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Non homogeneous boundary conditions: 3.Robin (Cauchy) problem 4.Penalty approach for non homogeneous Dirichlet Implementation notes
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Non homogeneous boundary conditions: 1. Non homogeneous Dirichlet problem 2. Neumann problem
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Upwind stable formulation Petrov Galerkin for fem
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Convection diffusion equation in 1D (steady state) Exact solution FEM and FD formulation (equivalence) Peclet number Oscillation in the solution for convection dominated problems
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Convergence, error estimates in 1D fem
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Consistency, Stability and Convergence of 1D fem
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Euler Lagrange equation Finite Element for elliptic 1D problems
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Finite Element for elliptic 1D problems How to choose the FE space?
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Equivalence between differential, week and minimization problem
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