• Macaulay2

  • Referenced in 1341 articles [sw00537]
  • system devoted to supporting research in algebraic geometry and commutative algebra, whose creation has been ... coherent sheaves on projective varieties, primary decomposition of ideals, integral closure of rings, and more...
  • GAMBIT

  • Referenced in 22 articles [sw06529]
  • GAMBIT’s combination of CAD interoperability, geometry cleanup, decomposition and meshing tools results...
  • IETI

  • Referenced in 35 articles [sw19412]
  • collection of several NURBS geometries. Since there is a natural decomposition of the computational domain ... solver design of FETI with the exact geometry representation of IGA. We describe the IETI...
  • Bertini

  • Referenced in 178 articles [sw06683]
  • Bertini™: Software for Numerical Algebraic Geometry. Software for solving polynomial systems. Finds isolated solutions using ... isolated solutions and for the numerical irreducible decomposition. Treats positive-dimensional solutions by computing witness...
  • pCAMAL

  • Referenced in 2 articles [sw00687]
  • method following a serial step of geometry decomposition conducted in the CUBIT geometry preparation...
  • FaCSI

  • Referenced in 9 articles [sw18530]
  • namely the fluid, the structure and the geometry. In the fluid subproblem, after operating static ... single field preconditioners, e.g., based on domain decomposition or the multigrid method. We measure ... performances of FaCSI on a benchmark cylindrical geometry and on a problem of physiological interest...
  • GPDOF

  • Referenced in 8 articles [sw02585]
  • modeling. Our approach exploits a general-purpose decomposition algorithm, called GPDOF, and a dictionary ... called r-methods, based on theorems of geometry. GPDOF decomposes an equation system into ... input parameters. Recursive assembly methods (decomposition-recombination), maximum matching based algorithms, and other famous propagation...
  • Hemelb

  • Referenced in 12 articles [sw01043]
  • efficient simulation of fluid flow in complex geometries. The lattice-Boltzmann model and the structure ... minimized and the novel topology-aware domain decomposition technique is shown to be very effective...
  • PRONTO 2D

  • Referenced in 13 articles [sw18327]
  • using the rotation determined from the polar decomposition of the deformation gradient. An accurate incremental ... deforming contact surfaces of quite general geometry. A number of numerical examples are presented...
  • ixlib

  • Referenced in 0 articles [sw05360]
  • algebra components (e.g., linear solver, LU decomposition), planar geometry, polygons, automatic arrays, rasterization for geometric...
  • BasisDet

  • Referenced in 1 article [sw26265]
  • renormalizable field theories, based on computational algebraic geometry. This algorithm uses (1) the Gr”obner ... integrand-level reduction, (2) the primary decomposition of an ideal to classify all inequivalent solutions ... primary decomposition part can be readily carried out by algebraic geometry softwares, with the output...
  • RO910

  • Referenced in 1 article [sw12139]
  • used. Complex geometry of a turbine passage is handled using domain decomposition. The first problem...
  • Shift

  • Referenced in 3 articles [sw18322]
  • includes features such as support for multiple geometry and physics engines, hybrid capabilities for variance ... Adjoint-Driven Importance Sampling methodology, advanced parallel decompositions, and tally methods optimized for scalability...
  • PHCpack

  • Referenced in 1 article [sw12154]
  • irreducible decomposition method. As the size of many problems in applied algebraic geometry often surpasses...
  • IRIT

  • Referenced in 4 articles [sw21528]
  • unique features that help in handling freeform geometry including strong symbolic, numeric and algebraic based ... surface deformation (including using composition), freeform surface decomposition into piecewise ruled and piecewise developable surfaces ... implicit forms. A rich set of computational geometry tools for freeform splines is offered including...
  • Pavane

  • Referenced in 3 articles [sw29850]
  • through the geometric world. The state-to-geometry mapping is defined as a composition ... architectural considerations. This paper shows how this decomposition was molded by two methodological objectives...
  • ProFound

  • Referenced in 1 article [sw28990]
  • segmentation maps that follow the sometimes complex geometry of resolved sources, whilst capturing nearly ... flux. A number of bulge-disc decomposition projects are already making use of the ProFound...
  • DOUG

  • Referenced in 4 articles [sw16658]
  • Automatic domain decomposition on unstructured grids (DOUG). This paper describes a parallel iterative solver ... additional information about the PDE and the geometry of the domain. The solver parallelises matrix...
  • GTROTA

  • Referenced in 1 article [sw17647]
  • effects) in generalized toroidal magnetic flux surface geometry. It computes the toroidal and poloidal fluid ... accomplished iteratively, using a physically motivated decomposition, successive over-relaxation and the concept of simulated...
  • TOKAM3X

  • Referenced in 1 article [sw18047]
  • TOKAM3X simulates plasma turbulence in full torus geometry including the open field lines ... consistently treated. Based on a domain decomposition, specific numerical schemes are proposed using conservative finite ... edge plasma turbulence in X-point geometry are also introduced in a JET geometry...