Elliptic Boundary Value Problems and FEM / Chapter 1: |
Elliptic Boundary Value Problems / 1.1: |
Ritz-Galerkin Method / 1.2: |
Finite Element Method (FEM) / 1.3: |
Inverse Assumption / 1.4: |
L oo Estimate / 1.5: |
L p Estimate / 1.6: |
Asymptotic Expansion / 1.7: |
Semigroup Theory and FEM / Chapter 2: |
Evolutionary Problems / 2.1: |
Semi-discretization / 2.2: |
Fractional Powers / 2.3: |
Full-discretization / 2.4: |
Inhomogeneous Equation / 2.5: |
Higher Accuracy / 2.6: |
Hyperbolic Equation / 2.7: |
Evolution Equations and FEM / Chapter 3: |
Generation Theories / 3.1: |
A Priori Estimates / 3.2: |
Alternative Approach / 3.3: |
Other Methods in Time Discretization / Chapter 4: |
Rational Approximation of Semigroups / 4.1: |
Multi-step Method / 4.2: |
Product Formula / 4.3: |
Other Methods in Space Discretization / Chapter 5: |
Lumping of Mass / 5.1: |
Upwind Finite Elements / 5.2: |
Mixed Finite Elements / 5.3: |
Boundary Element Methods (BEM) / 5.4: |
Charge Simulation Methods (CSM) / 5.5: |
Nonlinear Problems / Chapter 6: |
Semilinear Elliptic Equations / 6.1: |
Semilinear Parabolic Equations / 6.2: |
Degenerate Parabolic Equations / 6.3: |
Domain Decomposition Method / Chapter 7: |
Dirichlet to Neumann (DN) Map / 7.1: |
Dirichlet to Neumann (DN) Iteration / 7.2: |
Dirichlet 2 to Neumann 2 (DD-NN) Iteration / 7.3: |
Robin to Robin Iteration / 7.4: |
Exterior Problem / 7.5: |
The Stokes System / 7.6: |
Bibliography |
Index |
Elliptic Boundary Value Problems and FEM / Chapter 1: |
Elliptic Boundary Value Problems / 1.1: |
Ritz-Galerkin Method / 1.2: |