Files

• dir Rodin Namespace Rodin.
  • dir Advection Namespace Rodin::Advection.
    • file Lagrangian.h Lagrangian variational advection for scalar fields.
  • dir Alert Namespace Rodin::Alert.
    • file ForwardDecls.h Forward declarations for Alert module types.
  • dir Assembly Namespace Rodin::Assembly.
    • file Default.h Default assembly strategy selection based on compilation configuration.
    • file Input.h Input data structures for assembly operations.
    • file ForwardDecls.h Forward declarations for the Assembly module.
  • dir Context Namespace Rodin::Context.
  • dir Distance Namespace Rodin::Distance.
    • file Base.h Base class for distance function computation models.
    • file Eikonal.h Eikonal equation-based distance function computation.
    • file Poisson.h Poisson equation-based distance function approximation.
    • file Rvachev.h Rvachev normalization for level set functions.
    • file SignedPoisson.h Signed Poisson equation-based distance function approximation.
    • file SpaldingTucker.h Spalding-Tucker normalization for level set functions.
  • dir Eikonal Namespace Rodin::Eikonal.
    • file FMM.h Fast marching method on simplicial meshes.
  • dir FormLanguage Namespace Rodin::FormLanguage.
    • file Debug.h Debugging utilities for form language objects.
    • file IsPlaneObject.h Type trait for identifying Eigen plain object types.
    • file List.h Polymorphic container for form language objects.
    • file Traits.h Type traits system for form language objects.
    • file ForwardDecls.h Forward declarations for the FormLanguage module.
  • dir Geometry Namespace Rodin::Geometry.
    • dir Euclidean Namespace Rodin::Geometry::Euclidean.
      • file Base.h Base class for Euclidean geometric objects using CRTP pattern.
      • file Circle.h Circle in 2D Euclidean space.
      • file Concepts.h Type traits for detecting geometric operations on Euclidean objects.
      • file Line2D.h Infinite line in 2D Euclidean space.
      • file LineSegment2D.h Line segment in 2D Euclidean space.
      • file Point2D.h Point in 2D Euclidean space.
      • file Rectangle.h Axis-aligned rectangle in 2D Euclidean space.
      • file Common.h Common utility functions for Euclidean geometry.
      • file ForwardDecls.h Forward declarations for Euclidean geometry classes.
    • file AttributeIndex.h Attribute indexing for mesh polytopes.
    • file BalancedCompactPartitioner.h Balanced compact partitioning strategy for mesh decomposition.
    • file Connectivity.h Mesh connectivity for representing topological relationships.
    • file Euclidean.h Euclidean geometry utilities for the Rodin::Geometry module.
    • file GeometryIndexed.h Container for mapping polytope types to associated data.
    • file GreedyPartitioner.h Greedy partitioning strategy for mesh decomposition.
    • file IdentityTransformation.h Identity transformation for polytopes.
    • file IndexGenerator.h Index generation utilities for iterating over polytope indices.
    • file IsoparametricTransformation.h Isoparametric transformation for finite elements.
    • file Point.h Spatial points on mesh polytopes with reference and physical coordinates.
    • file Polytope.h Polytope classes representing geometric elements in finite element meshes.
    • file PolytopeIterator.h Iterator classes for traversing mesh polytopes.
    • file PolytopeTransformation.h Base class for polytope geometric transformations.
    • file PolytopeTransformationIndex.h Index for storing polytope transformations.
    • file Region.h Region enumeration for identifying mesh subregions.
    • file Shard.h Local mesh shard with partition, ownership, and overlap metadata.
    • file SubMesh.h SubMesh class for representing subregions of meshes with parent relationships.
    • file Types.h Type definitions for the Rodin::Geometry module.
    • file ForwardDecls.h Forward declarations for the Rodin::Geometry module.
    • file Mesh.h Core mesh data structure for finite element computations.
    • file Sharder.h Sharder interface for mesh decomposition.
    • file MeshPartitioner.h Base interface for mesh partitioning algorithms.
  • dir Hilbert Namespace Rodin::Hilbert.
  • dir IO Namespace Rodin::IO.
    • file XDMF.h XDMF 3 domain writer for temporal visualization output.
    • file HDF5.h HDF5-based mesh and grid function persistence for Rodin.
  • dir Math Namespace Rodin::Math.
    • file Constants.h Mathematical constants and related utility functions.
    • file Matrix.h Dense matrix type aliases and definitions.
    • file Rad.h Radian angle unit type.
    • file SparseMatrix.h Sparse matrix type and operations.
    • file Traits.h Type traits for the Math module and form language.
    • file Types.h Type definitions for the Math module.
    • file Unit.h Base class for type-safe unit representations.
    • file Vector.h Dense vector type aliases and definitions.
    • file Common.h Common mathematical functions and operations.
    • file ForwardDecls.h Forward declarations for the Math module.
  • dir QF Namespace Rodin::QF.
    • file Centroid.cpp Implementation of the Centroid quadrature formula.
    • file Centroid.h Defines the Centroid single-point quadrature formula.
    • file GaussLegendre.cpp Implementation of the GaussLegendre quadrature formula.
    • file GaussLegendre.h Defines the GaussLegendre quadrature formula.
    • file GaussLobatto.h Defines the GaussLobatto quadrature formula.
    • file GenericPolytopeQuadrature.cpp Implementation of the GenericPolytopeQuadrature dispatcher class.
    • file GenericPolytopeQuadrature.h Defines the GenericPolytopeQuadrature dispatcher class.
    • file GrundmannMoller.cpp Implementation of the GrundmannMoller simplex quadrature formula.
    • file GrundmannMoller.h Defines the GrundmannMoller simplex quadrature formula.
    • file QuadratureFormula.h Defines the QuadratureFormulaBase abstract base class.
  • dir Solver Namespace Rodin::Solver.
    • file ForwardDecls.h Forward declarations for all solver classes.
    • file BiCGSTAB.h Bi-conjugate gradient stabilized solver for non-symmetric systems.
    • file CG.h Conjugate gradient solver for symmetric positive definite systems.
    • file CHOLMOD.h CHOLMOD supernodal Cholesky factorization solver wrapper.
    • file DGMRES.h DGMRES solver for (generally) non-symmetric linear systems.
    • file GMRES.h GMRES solver for (generally) non-symmetric linear systems.
    • file HouseholderQR.h Householder QR decomposition for dense matrices.
    • file IDRS.h IDRS(s) solver for (generally) non-symmetric linear systems.
    • file IDRSTABL.h IDRstab(l) solver for (generally) non-symmetric linear systems.
    • file LDLT.h Robust LDLT Cholesky factorization for dense matrices.
    • file LeastSquaresCG.h Least-squares conjugate gradient solver.
    • file MINRES.h MINRES solver for symmetric (possibly indefinite) linear systems.
    • file SimplicialLDLT.h Simplicial LDLT Cholesky factorization for sparse SPD matrices.
    • file SimplicialLLT.h Simplicial LLT Cholesky factorization for sparse SPD matrices.
    • file SparseLU.h Sparse LU factorization solver.
    • file SparseQR.h Sparse QR factorization with column pivoting.
    • file SPQR.h SuiteSparseQR multifrontal sparse QR solver wrapper.
    • file UMFPack.h UMFPACK multifrontal sparse LU solver wrapper.
  • dir Test Namespace Rodin::Test.
  • dir Utility Namespace Rodin::Utility.
    • file Cast.h Defines the Cast template for type conversions.
    • file BottomTemplate.h Defines the BottomTemplate metafunction for extracting innermost types.
    • file Cast.cpp Implementation file for Cast specializations.
    • file DependentValue.h Defines the DependentValue utility for type-dependent compile-time constants.
    • file Extract.h Defines the Extract metafunction for tuple type transformation.
    • file False.h Defines the False compile-time constant for static_assert in template contexts.
    • file ForConstexpr.h Defines compile-time loop utilities for template metaprogramming.
    • file HasTypeMember.h Defines the HasTypeMember type trait for detecting nested Type members.
    • file HasValueMember.h Defines the HasValueMember type trait for detecting nested Value members.
    • file IntegerSequence.h Defines the IntegerSequence class for compile-time integer sequences.
    • file IsCompleteType.h Defines the IsCompleteType type trait for detecting complete types.
    • file IsOneOf.h Defines the IsOneOf type trait for checking type membership in a list.
    • file IsSpecialization.h Defines the IsSpecialization type trait for detecting template specializations.
    • file Make.h Defines the Make factory template for perfect forwarding construction.
    • file OptionalReference.h Defines the OptionalReference wrapper for optional reference semantics.
    • file Overloaded.h Defines the Overloaded helper for combining multiple lambdas.
    • file ParameterPack.h Defines the ParameterPack class for compile-time parameter pack manipulation.
    • file Product.h Defines the Product metafunction for computing Cartesian products of tuple types.
    • file Repeat.h Defines the Repeat metafunction for creating tuples with repeated types.
    • file STLCasts.h Defines STL-related type conversion utilities.
    • file UnwrapReference.h Defines utilities for unwrapping reference_wrapper types.
    • file Wrap.h Defines the Wrap metafunction for wrapping tuple element types.
    • file Zip.h Defines the Zip metafunction for combining two tuples element-wise.
  • dir Variational Namespace Rodin::Variational.
    • file Problem.h Variational problem classes for finite element systems.
    • file Traits.h Type traits for variational formulations.
    • file ForwardDecls.h Forward declarations for Variational module classes.
    • file GridFunction.h Grid function class for representing FEM solutions.
    • file Abs.h Absolute value operations for functions.
    • file AND.h Logical AND operator for boolean functions.
    • file Average.h Average operator for interface jump terms in DG methods.
    • file BilinearForm.h Bilinear form classes for finite element assembly.
    • file BilinearFormIntegrator.h Base classes for bilinear form integrators.
    • file BooleanFunction.h Boolean-valued functions for logical operations in variational formulations.
    • file BoundaryIntegral.h Boundary integral classes for variational formulations.
    • file BoundaryNormal.h Outward unit normal vector on domain boundaries.
    • file ComplexFunction.h Complex-valued scalar functions.
    • file Component.h Component extraction from vector and matrix functions.
    • file Conjugate.h Complex conjugate operation for functions.
    • file Cosh.h Hyperbolic cosine function operator for scalar functions.
    • file Cosine.h Cosine trigonometric function operator for scalar functions.
    • file DenseProblem.h Dense matrix problem specialization.
    • file DirichletBC.h Dirichlet boundary condition implementation.
    • file Div.h Divergence operator for vector-valued functions.
    • file Division.h Division operation for functions.
    • file Dot.h Dot product (inner product) operations for functions and shape functions.
    • file EQ.h Equality comparison operator for functions.
    • file Exp.h Exponential function operations.
    • file F.h Coordinate projection functions for variational formulations.
    • file FaceIntegral.h Face integral classes for discontinuous Galerkin methods.
    • file FaceNormal.h Normal vector on mesh faces for DG methods.
    • file FiniteElement.h Base classes for finite element definitions.
    • file FiniteElementSpace.h Finite element space classes and infrastructure.
    • file Flow.h Flow map operators for shape functions and grid functions.
    • file Frobenius.h Frobenius norm operation for functions.
    • file Function.h Base class hierarchy for functions in variational formulations.
    • file GEQ.h Greater-than-or-equal comparison operator for functions.
    • file Grad.h Gradient operator for scalar functions and shape functions.
    • file GT.h Greater-than comparison operator for functions.
    • file H1.h H1-conforming Lagrange finite element space.
    • file IdentityMatrix.h Identity matrix function.
    • file Im.h Imaginary part extraction from complex-valued functions.
    • file Integral.h Domain integral classes for variational formulations.
    • file Integrator.h Base class for all integrator types in variational formulations.
    • file InterfaceIntegral.h Interface integral classes for interior element faces.
    • file Jump.h Jump operator for interface discontinuities in DG methods.
    • file LEQ.h Less-than-or-equal comparison operator for functions.
    • file LinearForm.h Linear form classes for finite element assembly.
    • file LinearFormIntegrator.h Base classes for linear form integrators.
    • file LT.h Less-than comparison operator for functions.
    • file MatrixFunction.h Matrix-valued functions for variational formulations.
    • file Max.h Maximum function operations.
    • file Min.h Minimum function operations.
    • file Minus.h Subtraction operations for functions, shape functions, and integrators.
    • file Mult.h Multiplication operations for functions, shape functions, and integrators.
    • file OR.h Logical OR operator for boolean functions.
    • file P0.h Piecewise constant (P0) finite element space.
    • file Derivative.h Directional derivative operator for scalar functions.
    • file Jacobian.h Jacobian matrix operator for vector-valued functions.
    • file P1.h Piecewise linear (P1) finite element space.
    • file Potential.h Potential operator for computing potential fields from kernels.
    • file QuadratureRule.h Quadrature rule classes for numerical integration.
    • file PeriodicBC.h Periodic boundary condition implementation.
    • file Pow.h Power (exponentiation) operations for functions.
    • file ProblemBody.h Problem body class managing integrators and boundary conditions.
    • file Re.h Real part extraction from complex-valued functions.
    • file RealFunction.h Real-valued scalar functions for variational formulations.
    • file RelativeError.h Relative error computation utilities for grid functions.
    • file Restriction.h Restriction operators for functions on subdomains.
    • file ScalarFunction.h Base class for scalar-valued functions in variational formulations.
    • file ShapeFunction.h Base class for finite element shape functions and basis functions.
    • file Sine.h Sine trigonometric function operator for scalar functions.
    • file Sinh.h Hyperbolic sine function operator for scalar functions.
    • file SparseProblem.h Sparse matrix problem specialization.
    • file Sqrt.h Square root operations for functions.
    • file Sum.h Addition operation for functions, shape functions, and form integrators.
    • file Tangent.h Tangent trigonometric function operator for scalar functions.
    • file TestFunction.h Test functions for variational formulations.
    • file Trace.h Matrix trace operator for matrix-valued functions.
    • file TraceOperator.h Function trace operator for boundary restriction.
    • file Transpose.h Matrix and ShapeFunction transpose operations.
    • file TrialFunction.h Trial functions (solution functions) for variational formulations.
    • file UnaryMinus.h Negation operator for functions, shape functions, and integrators.
    • file VectorFunction.h Vector-valued functions for variational formulations.
    • file Zero.h Zero function for variational formulations.
  • file Alert.h Main include file for the Alert module.
  • file Array.h Defines array types and utility functors for index arrays.
  • file Cast.h Defines the Cast template for type conversion operations.
  • file Context.h Top level include for the Rodin::Context module.
  • file Copyable.h Defines the Copyable interface for polymorphic copying.
  • file FlatSet.h Defines comparison and hash functors for IndexSet types.
  • file FormLanguage.h Top level include for the Rodin::FormLanguage module.
  • file Identifiable.h Defines the Identifiable interface.
  • file IO.h Top level include for the Rodin::IO module.
  • file Math.h Top level include for the Rodin::Math module.
  • file Types.h Fundamental type definitions for the Rodin library.
  • file MMG.h Public umbrella header for the Rodin::MMG module.
  • file Common.h Common definitions and includes used throughout Rodin.
  • file Configure.h.in Header containing preprocessor directives for Rodin.
  • file ForwardDecls.h Forward declarations for core Rodin types.
  • file Moveable.h Defines the Moveable interface for polymorphic move operations.
  • file Assembly.h Top level include for the Rodin::Assembly module.
  • file MPI.h Top level include for the Rodin::MPI module.
  • file Geometry.h Top level include for the Rodin::Geometry utilities.
  • file Pair.h Defines the Pair class, a specialized two-element Tuple.
  • file PETSc.h Top level include for the Rodin::PETSc module.
  • file QF.h Top level include for the Rodin::QF module.
  • file Solver.h Main header for the Solver module.
  • file Test.h Top level include for the Rodin::Test module.
  • file Threads.h Top level include for the Rodin::Threads module.
  • file Tuple.h Defines the Tuple class, an extended tuple implementation.
  • file Utility.h Top level include for the Rodin::Utility module.
  • file Variational.h Top level include for the Rodin::Variational namespace.
  • file LinearElasticity.h Linear elasticity formulations and integrators.
• file Rodin.h Top level include for Rodin library.