• PetIGA

  • Referenced in 43 articles [sw12420]
  • software framework implements a NURBS-based Galerkin finite element method (FEM), popularly known as isogeometric ... range of problem sizes, including large-scale simulations where high performance parallel is a must...
  • pyfssa

  • Referenced in 1 article [sw27409]
  • pyfssa: Scientific Python package for finite-size scaling analysis...
  • VCFEM-HOMO

  • Referenced in 25 articles [sw35054]
  • cell finite element model. A multiple scale finite element model (VCFEM-HOMO) has been developed ... asymptotic homogenization theory with the Voronoi cell finite element model (VCFEM). VCFEM for microstructural modeling ... modeling is done by the general purpose finite element code ABAQUS, and interfacing with ... VCFEM-HOMO, and the effect of size, shape and distribution of heterogeneities on local...
  • PENSDP

  • Referenced in 21 articles [sw05119]
  • factors of second-order methods for large-scale semidefinite optimization are the storage and factorization ... large number of variables and modest size of the constrained matrix. We further propose ... matrix-vector product or using a finite-difference formula. This leads to huge savings...
  • Sparse-BSOS

  • Referenced in 9 articles [sw31772]
  • optimization problems. It permits to treat large scale problems which satisfy a structured sparsity pattern ... semidefinite programs (with semidefinite constraints of fixed size) converges to the global optimum ... class of SOS-convex problems, finite convergence takes place at the first step...
  • Adaptative L1 TE and Predictive

  • Referenced in 13 articles [sw32154]
  • equations. The computation time required by standard finite difference methods with fixed timesteps for solving ... operations required to find the solution scales as the square of the number of timesteps ... these problems usually involve markedly different time scales, which leads to quite inhomogeneous numerical errors ... resorting to adaptive numerical methods where the size of the timesteps is chosen according...
  • KOKO Mesh Generator

  • Referenced in 10 articles [sw34440]
  • Mesh Generator: Mesh generator for the 2D finite element method. Set of MATLAB functions ... function for the domain geometry. A mesh size function, for the spatial node distribution ... node triangular meshes or large scale meshes. For more details: Koko J., A Matlab mesh ... generator for the two-dimensional finite element method, Applied Mathematics and Computation...
  • BoRiS

  • Referenced in 3 articles [sw06562]
  • grid using our grid generation. par The Finite Volume Methods leads to large sparse linear ... respect to their computational efficiency, grid size scaling and memory requirements. Different schemes for interpolation...
  • phParAdapt

  • Referenced in 7 articles [sw09044]
  • multiphase flows. Methodology for performing large scale parallel numerical simulations of two-phase flow ... that uses a three-dimensional (3-D) finite element method (FEM) solver, PHASTA, to perform ... procedure. Utilizing local mesh modification operators, element sizes are adjusted to equally distribute the errors...
  • GRUMMP

  • Referenced in 9 articles [sw09672]
  • capable of generating quality finite element and finite volume meshes. There must be a balance ... types of physical problems have predefined mesh sizing and element aspect ratio functions, allowing easy ... element size and quality are met. In addition, automatic computation of local length scale...
  • FLAVERS

  • Referenced in 4 articles [sw09079]
  • size and complexity and, subsequently, are becoming ever more difficult to validate. Finite state verification ... most part, these approaches do not scale adequately to handle the complexity usually found...
  • FLLOP

  • Referenced in 3 articles [sw29047]
  • overlapping manner. By means of finite element method it assembles all linear algebra objects required ... last section, large-scale numerical experiments with problem size up to 60 million of degrees...
  • STRONG

  • Referenced in 2 articles [sw19505]
  • verification for bounded time. It simulates a finite number of trajectories and computes robust neighborhoods ... robust neighborhoods for linear dynamics scale well with the size of the problem. Moreover...
  • SPARC

  • Referenced in 2 articles [sw22290]
  • force, we develop a framework using the finite-difference representation that enables the efficient evaluation ... with domain size; systematic convergence in the energy and forces with mesh-size to reference ... electrons, SPARC displays weak and strong parallel scaling behavior that is similar to well-established...
  • DFT-FE

  • Referenced in 1 article [sw33910]
  • finite-element code, DFT-FE, for large-scale ab-initio calculations (reaching   100,000 electrons ... discretized using a higher-order adaptive spectral finite-element (FE) basis, and treats pseudopotential ... periodic and periodic systems—at systems sizes beyond a few thousand electrons, with over fold ... parallel scalability of DFT-FE, with strong scaling demonstrated up to 192,000 MPI tasks...
  • FemaxxNano

  • Referenced in 1 article [sw16819]
  • large-scale nonlinear eigensolver for the analysis of dispersive nanostructures. We introduce the electromagnetic eigenmodal ... study of the interaction between nanometer sized metallic structures and light is at the heart ... discretize the electromagnetic eigenvalue problem with the finite element method (FEM) in 3-dimensional space...
  • TDSE Solver

  • Referenced in 1 article [sw16831]
  • time-dependent Schr”odinger equation for large-scale nanosystems. A parallelized three-dimensional (3D) time ... TDSE Solver is based on the finite-difference method (FDM) in Cartesian coordinates and uses ... with some limitations on the problem size. The TDSE Solver is validated by calculation...
  • ANSYS

  • Referenced in 654 articles [sw00044]
  • ANSYS offers a comprehensive software suite that spans...
  • ATLAS

  • Referenced in 195 articles [sw00056]
  • This paper describes the Automatically Tuned Linear Algebra...
  • BoomerAMG

  • Referenced in 153 articles [sw00086]
  • BoomerAMG: A parallel algebraic multigrid solver and preconditioner...