Class PieceWiseLinearDiscontinuous

Inheritance Relationships

class PieceWiseLinearDiscontinuous : public opensn::PieceWiseLinearBase 

Generalization of the Galerkin Finite Element Method with piecewise linear basis functions for use by a Discontinuous Finite Element Method (DFEM).

Public Functions

virtual void BuildSparsityPattern(std::vector<int64_t> &nodal_nnz_in_diag, std::vector<int64_t> &nodal_nnz_off_diag, const UnknownManager &unknown_manager) const override: Builds the sparsity pattern for a local block matrix compatible withthe given unknown manager. The modified vectors are: nodal_nnz_in_diag which specifies for each row the number of non-zeros in the local diagonal block, nodal_nnz_off_diag which specifies for each row the number of non-zeros in the off-diagonal block.

virtual int64_t MapDOF(const Cell &cell, unsigned int node, const UnknownManager &unknown_manager, unsigned int unknown_id, unsigned int component) const override: Maps the global address of a degree of freedom.

virtual int64_t MapDOFLocal(const Cell &cell, unsigned int node, const UnknownManager &unknown_manager, unsigned int unknown_id, unsigned int component) const override: Maps the local address of a degree of freedom. This can include ghost entries if the specific discretization has any.

inline virtual int64_t MapDOF(const Cell &cell, unsigned int node) const override: Maps the local address of a degree of freedom. This can include ghost entries if the specific discretization has any. Default structure here is a single scalar unknown.

inline virtual int64_t MapDOFLocal(const Cell &cell, unsigned int node) const override: Maps the local address of a degree of freedom. This can include ghost entries if the specific discretization has any. Default structure here is a single scalar unknown.

virtual size_t GetNumGhostDOFs(const UnknownManager &unknown_manager) const override: For the unknown structure in the unknown manager, returns the number of ghost degrees-of-freedom.

virtual std::vector<int64_t> GetGhostDOFIndices(const UnknownManager &unknown_manager) const override: For the unknown structure in the unknown manager, returns the global IDs of all the ghost degrees-of-freedom.

Public Static Functions

static std::shared_ptr<PieceWiseLinearDiscontinuous> New(const std::shared_ptr<MeshContinuum> &grid, QuadratureOrder q_order = QuadratureOrder::SECOND): Construct a shared object using the protected constructor.

Protected Functions

void OrderNodes(): Reorders the nodes for parallel computation in a Continuous Finite Element calculation.

Protected Attributes