2D specfem::assembly::mesh_impl::shape_functions

template<>
struct shape_functions<specfem::element::dimension_tag::dim2>

Shape function and their derivatives for every control node within the mesh.

Subclassed by specfem::assembly::mesh< specfem::element::dimension_tag::dim2 >

Public Types

using ShapeFunctionViewType = Kokkos::View<type_real***, Kokkos::LayoutRight, Kokkos::DefaultExecutionSpace>

Kokkos view type for shape function storage.

3D view with dimensions [ngllz, ngllx, ngnod] using right layout for optimal memory access when iterating over control nodes.

using DShapeFunctionViewType = Kokkos::View<type_real****, Kokkos::LayoutRight, Kokkos::DefaultExecutionSpace>

Kokkos view type for shape function derivative storage.

4D view with dimensions [ngllz, ngllx, ndim, ngnod] where ndim=2, storing derivatives with respect to both \(\xi\) and \(\zeta\) directions.

Public Functions

inline shape_functions(const int &ngllz, const int &ngllx, const int &ngnod)

Constructor for pre-allocated shape function computation.

Creates shape function storage with the specified dimensions but does not compute values. This constructor is used when shape functions will be computed and populated separately, typically in mesh assembly operations.

Parameters:

  • ngllz – Number of GLL quadrature points in z direction

  • ngllx – Number of GLL quadrature points in x direction

  • ngnod – Number of control nodes per element

shape_functions(const Kokkos::View<type_real*, Kokkos::DefaultHostExecutionSpace> xi, const Kokkos::View<type_real*, Kokkos::DefaultHostExecutionSpace> gamma, const int &ngll, const int &ngnod)

Constructor with immediate shape function computation.

Computes shape functions and their derivatives at the provided quadrature points using the spectral element shape function library. This constructor performs parallel computation using Kokkos and synchronizes data between host and device memory.

Parameters:

  • xi – GLL quadrature points in the xi (x) direction on [-1,1]

  • gamma – GLL quadrature points in the gamma (z) direction on [-1,1]

  • ngll – Number of GLL points (assumed equal in both directions)

  • ngnod – Number of control nodes per element

shape_functions() = default

Default constructor.

Public Members

int ngllz

Number of quadrature points in z dimension.

int ngllx

Number of quadrature points in x dimension.

int ngnod

Number of control nodes.

ShapeFunctionViewType shape2D

Device view containing shape function values.

Shape functions

DShapeFunctionViewType dshape2D

Device view containing shape function derivatives.

Shape function derivatives

ShapeFunctionViewType::host_mirror_type h_shape2D

Host mirror view of shape function values.

Shape functions

DShapeFunctionViewType::host_mirror_type h_dshape2D

Host mirror view of shape function derivatives.

Shape function derivatives

Public Static Attributes

static constexpr auto dimension_tag = specfem::element::dimension_tag::dim2

Compile-time dimension tag for template specialization.

Dimension