http://www.hmatrix.org/ Web1 de jan. de 2002 · Abstract. We give a short introduction to a method for the data-sparse approximation of matrices resulting from the discretisation of non-local operators …
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WebBebendorf, M. [2005] “ Hierarchical LU decomposition-based preconditioners for BEM,” Computing 74, 225–247. Crossref, ISI, Google Scholar; Bebendorf, M. [2008] Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems (Springer-Verlag, Berlin). Google Scholar WebIn the present paper the Fast BEM based on hierarchical matrices and their algebra proposed in reference [17] for three-dimensional isotropic elasticity is extended to …
WebIn this paper, a fast hierarchical extraction approach based on the boundary element method (BEM) is presented for 3D parasitic capacitance computation. Hierarchical partition of the 3D field creates many parts which are called 3D BEM blocks. Web1 de jan. de 2003 · Hierarchical matrices (H-matrices) [1], [2], [3] are used as approximation techniques. An H-matrix is constructed directly from the interactions …
Web[3] M. Bebendorf, Hierarchical LU decomposition based preconditioners for BEM, Computing, 74 (2005), pp. 225–247. CMPTA2 0010-485X Crossref ISI Google Scholar [4] M. Bebendorf , Approximate inverse preconditioning of finite element discretizations of elliptic operators with nonsmooth coefficients , SIAM J. Matrix Anal. Appl. , 27 ( 2006 ), … Web1 de jan. de 2024 · Section 3 gives a brief account of our BEM approach and introduces hierarchical matrices. Our H-matrix implementation in the toolbox is discussed in Section 4. A short summary is given in Section 5. To keep the main text short and self-contained, several details about the BEM working equations and H-matrix manipulations are …
Web8 de dez. de 2004 · The theoretical results for the parallel algorithms are confirmed with numerical examples from BEM and FEM applications.-matrices, as they were introduced in previous papers, ... Direct domain decomposition using the hierarchical matrix technique. In: Proc. 14th Int. Conf. on Domain Decomposition Methods, Cacoyoc, Mexico, pp. 30–50 ...
Webhierarchical matrix Open Source library using the traditional H -matrix for-mat and adaptive cross approximation being applied to BEM problems. To be able to apply our parallel library to a (large-scale) BEM model problem, we further parallelized an existing sequential CPU code for the so- green family 13821Web30 de out. de 2024 · Hierarchical Matrix (H-matrix) is an approximation technique which splits a target dense matrix into multiple submatrices, and where a selected portion of submatrices are low-rank approximated. The technique substantially reduces both time and space complexity of dense matrix vector multiplication, and hence has been applied to … green fall pond ctWeb25 de nov. de 2024 · 19/02/2024 às 13:30 hs – Local: Canal do Youtube: Seminários DEST – UFMG. Magda Carvalho Pires – DEST/UFMG (Joint work with Milena S. Marcolino, Lucas E. F. Ramos, Rafael T. Silva, Luana M. Oliveira et.al) Título: ABC 2 -SPH risk score for in-hospital mortality in COVID-19 patients: development, external validation and … fluitmethodeWebHierarchical preconditionner and direct solver MetallicspheremonostaticRCS multipleRHS-p = 360 Frequency: f = 300MHz; Compression:(ε ACA = 10−4) ε rés. = 10−4 GMRES GMRESprécond. H-LU 10 −1 10 3 coarsening(ε préc. (s) ∅ 36,152 71,884 ∅ H-LU decomposition(s) ∅ 124,800 852,980 1622,080 GMRES(s) 109164,62 16370,384 … green falls campground voluntown ctWebWe propose three methods to introduce mixed precision computing to H-matrix vector multiplication, and then evaluate them in a boundary element method (BEM) analysis. … fluittoon in orenWebThese are the lecture notes of the winterschool on hierarchical matrices. We cover low-rank approximation schemes, clustering techniques, truncated arithmetics, complexity … fluitschip basisschoolWebHLib is a program library for hierarchical matrices and H2 -matrices. It provides routines for the construction of hierarchical matrix structures (i.e., of cluster trees, block cluster trees, low-rank matrices and block matrices), discretization functions that fill these structures by approximations of FEM or BEM operators, green family adelaide