Hierarchical matrix bem
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 ... 1. ^ Hackbusch, Wolfgang (1999). "A sparse matrix arithmetic based on H-matrices. Part I: Introduction to H-matrices". Computing. 62 (2): 89–108. doi:10.1007/s006070050015. 2. ^ Grasedyck, Lars; Hackbusch, Wolfgang (2003). "Construction and arithmetics of H-matrices". Computing. 70 (4): 295–334. doi:10.1007/s00607-003-0019-1.
Hierarchical matrix bem
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Web15 de nov. de 2004 · The adaptive cross approximation method can be used to efficiently approximate stiffness matrices arising from boundary element applications by hierarchical matrices. In this article an approximative LU decomposition in the same format is presented which can be used for preconditioning the resulting coefficient matrices efficiently. Web20 de dez. de 2015 · The inversion of the BEM matrix is considered in Section 10.5. Finally, we discuss general Fredholm and Volterra integral operators in Sections …
WebHLib 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, WebThe library offers matrix arithmetic operations (multiplication, inversion, factorization) both for hierarchical matrices and H²-matrices. Integral equations are supported by a wide range …
WebIn this article, we present high-performance implementations of matrix vector multiplication and compression operations for the H 2 variant of hierarchical matrices on GPUs. The H 2 variant exploits, in addition to the hierarchical block partitioning, hierarchical bases for the block representations and results in a scheme that requires … WebThese are the lecture notes of the winterschool on hierarchical matrices. We cover low-rank approximation schemes, clustering techniques, truncated arithmetics, complexity …
WebFast construction of hierarchical matrix representation from matrix–vector multiplication Lin Lina,⇑, Jianfeng Lub, Lexing Yingc a Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, United States bDepartment of Mathematics, Courant Institute of Mathematical Sciences, New York University, 251 …
http://www.hmatrix.org/literature.html camping alexandroshttp://hlib.org/ camping alexa chłapowoWeb13 de set. de 2024 · Faustmann, M., Melenk, J.M., Praetorius, D.: Existence of \({\mathcal{H}}\)-matrix approximants to the inverse of BEM matrices: the hyper-singular … first up tents for saleWeb1 de abr. de 2008 · The entire process leading to the subdivision in sub-blocks and to their further classification is based on a previous hierarchical partition of the matrix index set aimed at grouping subsets of indices corresponding to contiguous nodes and elements, on the basis of some computationally efficient geometrical criterion. This partition is stored … camping aleth st maloWeb[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 ), … camping alexandraWebBebendorf, 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 first uranium resourceshttp://www.bempp.org/hmatrices.html first uranium bomb