Hermes2D Documentation

• Introduction
  • About Hermes2D
  • About this Document
  • User and Developer Documentation
  • Mathematical Background
  • Interactive Web Accessibility
  • Citing Hermes
• Installation
  • Linux Users
  • Mac OS X Users
  • Windows Cygwin Users
  • Windows MSVC Users
• How to Submit the First Patch
  • Clone the Hermes2D Git Repository
  • Create the .gitconfig File
  • Create a Local Branch
  • Make and Commit Your Changes
  • Create and Send a Patch
  • Change to Master and Update the Repository
  • Special Note on Sphinx Docs
  • Further Reading and Video
  • GitHub
• Tutorial Part I (Linear Problems)
  • Finite Element Mesh (01)
  • Setting Up Finite Element Space (02)
  • Solving Poisson Equation (03)
  • Short and Long Versions of Examples
  • Boundary Conditions (04, 05, 06)
  • Determination of Quadrature Orders in Weak Forms
  • General 2nd-Order Linear Equation (07)
  • Systems of Equations (08)
  • Visualization and Filters
  • Time-Dependent Problems (09)
• Tutorial Part II (Automatic Adaptivity)
  • Adaptive h-FEM and hp-FEM
  • Understanding Convergence Rates
  • Electrostatic Micromotor Problem (10)
  • Multimesh hp-FEM
  • Simplified Fitzhugh-Nagumo System (11)
  • Adaptivity for General 2nd-Order Linear Equation (12)
  • Complex-Valued Problem (13)
  • Time-Harmonic Maxwell’s Equations (14)
• Tutorial Part III (Nonlinear Problems)
  • The Newton’s Method
  • Constant Initial Condition (15)
  • General Initial Condition (16)
  • Newton’s Method and Adaptivity (17)
  • Nonlinear Parabolic Problem (18)
  • Flame Propagation Problem (19)
  • Navier-Stokes Equations (20)
  • Gross-Pitaevski Equation (21)
• Tutorial Part IV (Adaptivity for Time-Dependent Problems)
  • Adaptive hp-FEM with Dynamical Meshes
  • Nonlinear Parabolic Problem (22)
  • Heat and Moisture Transfer in Concrete (23)
  • Gross-Pitaevski Equation (24)
• Tutorial Part V (Miscellaneous Techniques)
  • Space H(curl) (30)
  • Space H(div) (31)
  • Space L2 (32)
  • Adapting Mesh to an Exact Function (33)
  • Remote Computing (34)
• Tutorial Part VI (Using Trilinos)
  • Trilinos - Linear (40)
  • Trilinos - Nonlinear (41)
  • Trilinos - Timedep (42)
  • Trilinos - Adapt (43)
  • Trilinos - Coupled (44)
• Benchmarks with Known Exact Solution
  • Smooth-iso (Elliptic)
  • Smooth-aniso-x (Elliptic)
  • Smooth-aniso-y (Elliptic)
  • L-Shape (Elliptic)
  • Interior Layer (Elliptic)
  • Boundary Layer (Elliptic)
  • Line Singularity (Elliptic)
  • Kellogg (Elliptic)
  • 2-Group Neutronics (Neutronics)
  • Screen (Maxwell’s Equations)
• Examples
  • Crack (Linear Elasticity)
  • Bracket (Linear Elasticity)
  • Thermoelasticity
  • Saphir (Neutronics)
  • Iron-Water (Neutronics)
  • 4-Group (Neutronics)
  • Waveguide (Electromagnetics)
  • Navier-Stokes Equations
  • Bearing (Navier-Stokes)
  • Nernst-Planck Equation System
  • Singular Perturbation
  • Linear Advection-Diffusion
  • Richards Equation I
  • Richards Equation II
  • Richards Equation III