Element Interface

Supertype for all caches to integrate over volumes.

Interface:

setup_element_cache(model, qr, sdh)

Supertype for all caches to integrate over surfaces.

Interface:

setup_boundary_cache(model, qr, sdh)

Supertype for all caches to integrate over interfaces.

Interface:

setup_interface_cache(model, qr, ip, sdh)

assemble_element!(Kₑ::AbstractMatrix, cell::CellCache, element_cache::AbstractVolumetricElementCache, time)

Main entry point for bilinear operators

assemble_element!(Kₑ::AbstractMatrix, uₑ::AbstractVector, cell::CellCache, element_cache::AbstractVolumetricElementCache, time)

Update element matrix in nonlinear operators

assemble_element!(Kₑ::AbstractMatrix, residualₑ::AbstractVector, uₑ::AbstractVector, cell::CellCache, element_cache::AbstractVolumetricElementCache, time)

Update element matrix and residual in nonlinear operators

assemble_element!(residualₑ::AbstractVector, uₑ::AbstractVector, cell::CellCache, element_cache::AbstractVolumetricElementCache, time)

Update residual in nonlinear operators

The notation is as follows.

• \[K_e\]

  the element stiffness matrix

• \[u_e\]

  the element unknowns

• \[residual_e\]

  the element residual

assemble_facet!(Kₑ::AbstractMatrix, cell::CellCache, facet_cache::AbstractSurfaceElementCache, time)

Main entry point for bilinear operators

assemble_facet!(Kₑ::AbstractMatrix, uₑ::AbstractVector, cell::CellCache, facet_cache::AbstractSurfaceElementCache, time)

Update facet matrix in nonlinear operators

assemble_facet!(Kₑ::AbstractMatrix, residualₑ::AbstractVector, uₑ::AbstractVector, cell::CellCache, facet_cache::AbstractSurfaceElementCache, time)

Update facet matrix and residual in nonlinear operators

assemble_facet!(residualₑ::AbstractVector, uₑ::AbstractVector, cell::CellCache, facet_cache::AbstractSurfaceElementCache, time)

Update residual in nonlinear operators

The notation is as follows.

• \[K_e\]

  the element stiffness matrix

• \[u_e\]

  the element unknowns

• \[residual_e\]

  the element residual

assemble_interface!(Kₑ::AbstractMatrix, cell::CellCache, facet_cache::AbstractSurfaceElementCache, time)

Main entry point for bilinear operators

assemble_interface!(Kₑ::AbstractMatrix, uₑ::AbstractVector, cell::CellCache, facet_cache::AbstractSurfaceElementCache, time)

Update facet matrix in nonlinear operators

assemble_interface!(Kₑ::AbstractMatrix, residualₑ::AbstractVector, uₑ::AbstractVector, cell::CellCache, facet_cache::AbstractSurfaceElementCache, time)

Update facet matrix and residual in nonlinear operators

assemble_interface!(residualₑ::AbstractVector, uₑ::AbstractVector, cell::CellCache, facet_cache::AbstractSurfaceElementCache, time)

Update residual in nonlinear operators

The notation is as follows.

• \[K_e\]

  the element pair stiffness matrix

• \[u_e\]

  the element pair unknowns

• \[residual_e\]

  the element pair residual

AnalyticalCoefficientElementCache(f(x,t)->..., nonzero_in_time_intervals, cellvalues)

Analytical coefficient described by a function in space and time. Can be sparse in time.

Standard cache for surface integrals.

This cache allows to combine multiple elements over the same volume. If surface caches are passed they are handled properly. This requred dispatching isfacetincache(facet::FacetIndex, geometrycache, my_cache::MyCacheType)

This cache allows to combine multiple elements over the same surface.

This cache allows to combine multiple elements over the same interface.

BilinearMassIntegrator{MT, CV}

Represents the integrand of the bilinearform $a(u,v) = \int \rho(x) v(x) u(x) dx$ for $u,v$ from the same function space with some given density field $\rho(x)$.

The cache associated with BilinearMassIntegrator to assemble element mass matrices.

BilinearDiffusionIntegrator{CoefficientType}

Represents the integrand of the bilinear form $a(u,v) = -\int \nabla v(x) \cdot D(x) \nabla u(x) dx$ for a given diffusion tensor $D(x)$ and $u,v$ from the same function space.

The cache associated with BilinearDiffusionIntegrator to assemble element diffusion matrices.

QuasiStaticElementCache

A generic cache to assemble elements coming from a StructuralModel.

Right now the model has to be formulated in the first Piola Kirchhoff stress tensor and F.