_toc.yml

# Table of contents
# Learn more at https://jupyterbook.org/customize/toc.html

format: jb-book
root: intro
parts:
  - caption: The Galerkin Method
    numbered: True
    chapters:
    - file: primal/first_example.ipynb
    - file: primal/boundary_conditions.ipynb
    - file: primal/subdomains.ipynb         
    - file: primal/solvers.ipynb
    - file: primal/elasticity3D.ipynb         
    - file: primal/exercises.ipynb             


  - caption: Abstract Theory
    numbered: True
    chapters:
    - file: abstracttheory/BasicProperties.ipynb
    - file: abstracttheory/subspaceprojection.ipynb
    - file: abstracttheory/RieszRepresentation.ipynb
    - file: abstracttheory/Coercive.ipynb    
    - file: abstracttheory/infsup.ipynb
    - file: abstracttheory/exercises.ipynb        

  - caption: Sobolev Spaces
    numbered: True
    chapters:
    - file: sobolevspaces/GeneralizedDerivatives.ipynb
    - file: sobolevspaces/SobolevSpaces.ipynb
    - file: sobolevspaces/Traces.ipynb        
    - file: sobolevspaces/equivalentnorms.ipynb  
    - file: sobolevspaces/preciseweak.ipynb
    - file: sobolevspaces/experiments.ipynb
    - file: sobolevspaces/exercises.ipynb    


  - caption: Finite Element Method
    numbered: True
    chapters:
    - file: FEM/finiteelements.ipynb
    - file: FEM/myFiniteElement.ipynb
    - file: FEM/systemassembling.ipynb
    - file: FEM/myassembling.ipynb
    - file: FEM/erroranalysis.ipynb
    - file: FEM/nonconforming.ipynb


  - caption: A posteriori error estimates
    numbered: True
    chapters:
    - file: aposteriori/aposteriori.ipynb
    - file: aposteriori/residualEE.ipynb
    - file: aposteriori/goaldriven.ipynb    
    - file: aposteriori/equilibrated.ipynb 

  - caption: High Order Finite Elements
    numbered: True
    chapters:
    - file: pversion/hpfem.ipynb
    - file: pversion/myhighorder.ipynb    

  - caption: Mixed Finite Element Methods
    numbered: True
    chapters:
    - file: mixed/stokes.ipynb  
    - file: mixed/boundary.ipynb  
    - file: mixed/secondorder.ipynb  
    - file: mixed/abstract.ipynb  
    - file: mixed/abstractfem.ipynb
    - file: mixed/pardep.ipynb      

  - caption: Discontinuous Galerkin Methods
    numbered: True
    chapters:
    - file: DG/stationary.ipynb
    - file: DG/instationary.ipynb
    - file: DG/Nitsche.ipynb
    - file: DG/elliptic_stdDG.ipynb        
    - file: DG/elliptic.ipynb        
    - file: DG/splitting.ipynb        
    - file: DG/fourthorder.ipynb        
    - file: DG/stokes.ipynb        

  - caption: Mixed Methods for Second Order Equations
    numbered: True
    chapters:
    - file: secondorder/framework.ipynb
    - file: secondorder/hdiv.ipynb
    - file: secondorder/finiteelements.ipynb    
    - file: secondorder/erroranalysis.ipynb    
    - file: secondorder/erroranalysisl2h1.ipynb    
    - file: secondorder/hybridization.ipynb    


  - caption: Elasticity
    numbered: True
    chapters:
    - file: elasticity/modeling.ipynb
    - file: elasticity/Newton.ipynb
    - file: elasticity/elasticity2D.ipynb
    - file: elasticity/linearized_elasticity.ipynb
    - file: elasticity/dynamics.ipynb    

  - caption: Plates and Shells
    numbered: True
    chapters:
    - file: plates_shells/structural.ipynb    
    - file: plates_shells/1_hhj.ipynb
    - file: plates_shells/2_ReissnerMindlin.ipynb
    - file: plates_shells/3_shell.ipynb
    - file: plates_shells/4_rollup.ipynb


  - caption: Maxwell Equations
    numbered: True
    chapters:
    - file: Maxwell/magnetostatics.ipynb
    - file: Maxwell/coil.ipynb
    - file: Maxwell/HCurl.ipynb
    - file: Maxwell/deRham.ipynb



#  - caption: The Helmholtz equation

  - caption: Time-dependent problems
    numbered: True
    chapters:
    - file: timedependent/intro/heatequation.ipynb
    - file: timedependent/intro/waveequation.ipynb
    - file: timedependent/waves/lts.ipynb
    - file: timedependent/waves/wave-leapfrogDG.ipynb
    - file: timedependent/waves/ringresonator.ipynb        

  - caption: Iteration Methods
    numbered: True
    chapters:
    - file: iterative/simple.ipynb
    - file: iterative/Richardson.ipynb
    - file: iterative/gradientmethod.ipynb
    - file: iterative/preconditioning.ipynb
    - file: iterative/Chebyshev.ipynb
    - file: iterative/conjugategradients.ipynb

  - caption: Sub-space Correction Methods
    numbered: True
    chapters:
    - file: subspacecorrection/asm.ipynb
    - file: subspacecorrection/examples.ipynb
    - file: subspacecorrection/pversion.ipynb
      title: high order fem
    - file: subspacecorrection/minimaldd.ipynb
    - file: subspacecorrection/overlapping.ipynb
    - file: subspacecorrection/exercise.ipynb

  - caption: Multigrid Methods
    numbered: True
    chapters:
    - file: multigrid/algorithms.ipynb
    - file: multigrid/analysisML.ipynb
    - file: multigrid/analysisMG.ipynb
    - file: multigrid/multilevel-extension.ipynb
    - file: multigrid/amg.ipynb
    - file: multigrid/hcurlamg.ipynb
    
  - caption: Saddle-point Problems
    numbered: True
    chapters:
    - file: saddlepoint/structure.ipynb
    - file: saddlepoint/bramblepasciak.ipynb
    - file: saddlepoint/fewconstraints.ipynb
    - file: saddlepoint/parameterdependent.ipynb    


  - caption: Non-overlapping Domain Decomposition Methods
    numbered: True
    chapters:
    - file: domaindecomposition/introduction.ipynb
    - file: domaindecomposition/traces.ipynb
    - file: domaindecomposition/FETI.ipynb
    - file: domaindecomposition/FETI-DP.ipynb
    - file: domaindecomposition/BDDC.ipynb

  - caption: Parallel Solvers
    numbered: True
    chapters:
    - file: MPIparallel/intro.ipynb
    - file: MPIparallel/distmesh.ipynb
    - file: MPIparallel/vectypes.ipynb
    - file: MPIparallel/paralleliteration.ipynb
    - file: MPIparallel/petsc.ipynb
    - file: MPIparallel/PETSc_interface.ipynb
    - file: MPIparallel/parallelstokes.ipynb