
PetIGA
 Referenced in 43 articles
[sw12420]
 software framework implements a NURBSbased Galerkin finite element method (FEM), popularly known as isogeometric ... range of problem sizes, including largescale simulations where high performance parallel is a must...

pyfssa
 Referenced in 1 article
[sw27409]
 pyfssa: Scientific Python package for finitesize scaling analysis...

VCFEMHOMO
 Referenced in 25 articles
[sw35054]
 cell finite element model. A multiple scale finite element model (VCFEMHOMO) 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 ... VCFEMHOMO, and the effect of size, shape and distribution of heterogeneities on local...

PENSDP
 Referenced in 21 articles
[sw05119]
 factors of secondorder methods for largescale semidefinite optimization are the storage and factorization ... large number of variables and modest size of the constrained matrix. We further propose ... matrixvector product or using a finitedifference formula. This leads to huge savings...

SparseBSOS
 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 SOSconvex 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 twodimensional 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 twophase flow ... that uses a threedimensional (3D) 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, largescale 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 finitedifference representation that enables the efficient evaluation ... with domain size; systematic convergence in the energy and forces with meshsize to reference ... electrons, SPARC displays weak and strong parallel scaling behavior that is similar to wellestablished...

DFTFE
 Referenced in 1 article
[sw33910]
 finiteelement code, DFTFE, for largescale abinitio calculations (reaching 100,000 electrons ... discretized using a higherorder adaptive spectral finiteelement (FE) basis, and treats pseudopotential ... periodic and periodic systems—at systems sizes beyond a few thousand electrons, with over fold ... parallel scalability of DFTFE, with strong scaling demonstrated up to 192,000 MPI tasks...

FemaxxNano
 Referenced in 1 article
[sw16819]
 largescale 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 3dimensional space...

TDSE Solver
 Referenced in 1 article
[sw16831]
 timedependent Schr”odinger equation for largescale nanosystems. A parallelized threedimensional (3D) time ... TDSE Solver is based on the finitedifference 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...