multigrid methods
Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient
... two methods individually, such as the truncated non-smooth Newton multigrid ...algebraic multigrid (cf. [48]), and no methods such as monotone and truncated multigrid methods ...
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Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient
... it is shown that, for a Lipschitz continuous solution u to the porous medium equation, the convergence rate deteriorates proportional to the grid spacing. To prevent the error in the time derivative from dominating the ...
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A streaming approach for sparse matrix products and its application in Galerkin multigrid methods
... entire multigrid matrix hierarchy, have to be updated in every simulation time ...of multigrid methods, taking about an order of magnitude longer than the system ...
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Interactive Medical Image Registration With Multigrid Methods and Bounded Biharmonic Functions
... a multigrid active set method to solve bounded biharmonic functions ...The multigrid approach is for two scenarios, refining the active set from coarse to fine resolutions, and solving the linear systems ...
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Multigrid accelerated simulations for Twisted Mass fermions
... a positive quantity µ 2 , where D is the Wilson Dirac operator and µ is the TM parameter. This avoids exceptional configurations and, at the same time, gives an upper bound to the condition number, satisfying the ...
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Computer Assisted Planning in Cranio-Maxillofacial Surgery
... for multigrid methods as well as par- allelization must be considered as well Tissue remodeling and histogenesis is another impor- tant topic that must be taken into account for large ...
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Multigrid Solution of the Debye-Hückel Equation
... of multigrid methods, and devised a new inter- polation method to handle coefficients with sharp changes in the gradient of the dielectric coefficient and the Debye parameter of the Debye-H¨ uckel ...
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A multigrid method for saddle point problems arising from mortar finite element discretizations
... special multigrid techniques for the arising indefinite problems were developed [10, 11, ...these multigrid methods is the choice of the symmetric smoother for the saddle point ...the ...
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Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*,, **
... Multigrid methods (MG) are solution algorithms in which the iterative convergence to discrete solution is accelerated by means of a set of coarser approximations typically from a just twice coarser level to ...
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Galerkin discretizations of 4th order in space and time for the Convection-Diffusion-Reaction (CoDiRe) equation
... efficient multigrid methods for solving the resulting block systems which lead to convergence rates being almost independent of the mesh size and the time ...
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Interweaving PFASST and Parallel Multigrid
... In regular MLSDC, doing incomplete solves on the coarse levels is discussed and explored in [31] as a means to reduce the cost of coarse level sweeps. However, the ISDC strategy can also be incorporated into MLSDC, ...
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An Operator Smoothing with ILU(0) for Aggregation based Algebraic Multigrid
... In this paper, we present a technique based on ILU (0) to smooth the coefficient matrices on each level for the aggregation based multigrid methods. The coefficient matrices on each level are factorized ...
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An aggregation-based algebraic multigrid method
... algebraic multigrid method is presented to solve large systems of linear ...aggregation-based multigrid methods, the scalability is enhanced by using a so-called K-cycle multigrid scheme, ...
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A Multigrid Solver for Discrete Thin Plate Splines
... the multigrid method with Gauss-Seidel smoother fails to do ...the multigrid methods works with Gauss-Seidel or Jacobi smoother, as our matrix S is neither diagonal dominated if λ small nor ...
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Multigrid One Shot Method for PDE Constrained Optimization Problems
... well-known, multigrid methods are iterative methods for solving system of algebraic equations, which results, for example, after discretization of ...these methods, iterative methods ...
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A Wavelet Multigrid Method Using Symmetric Biorthogonal Wavelets
... two-level multigrid method, under the assumption that the matrix on the fine grid is ...and multigrid methods, which similarities motivate investigation into wavelet- based multigrid ...of ...
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An optimally efficient technique for the solution of systems of nonlinear parabolic partial differential equations
... The multigrid method is commonly accepted as being one of the fastest numerical methods for solving algebraic equations arising from mesh-based discretizations of ...first multigrid meth- ods, and ...
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Error analysis of variational discretization solving temperature control problems
... element methods, namely, the h-methods (mesh refinement), the p-methods (order enrichment), the r- methods (mesh redistribution) and the hp-methods (the combination of h-method and ...
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The Numerical Solution of the MRLW Equation Using the Multigrid Method
... In this work we extended the use of multigrid technique to initial boundary value problems, namely the MRLW problem. We tested our scheme through single solitary wave in which the analytic solution is known. Our ...
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Parallel performance prediction for multigrid codes on distributed memory architectures
... The layout of the remainder of the paper is as follows. In the next section we provide a very brief introduction to parallel multigrid algorithms for the solution of elliptic or parabolic partial differential ...
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