Reference documentation for deal.II version GIT 6da2e5d553 2022-07-01 18:55:02+00:00
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schur_complement.h
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2 //
3 // Copyright (C) 2015 - 2020 by the deal.II authors
4 //
5 // This file is part of the deal.II library.
6 //
7 // The deal.II library is free software; you can use it, redistribute
8 // it, and/or modify it under the terms of the GNU Lesser General
9 // Public License as published by the Free Software Foundation; either
10 // version 2.1 of the License, or (at your option) any later version.
11 // The full text of the license can be found in the file LICENSE.md at
12 // the top level directory of deal.II.
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14 // ---------------------------------------------------------------------
15 
16 #ifndef dealii_schur_complement_h
17 #define dealii_schur_complement_h
18 
19 #include <deal.II/base/config.h>
20 
22 
26 
27 
29 
34 
242 template <typename Range_1,
243  typename Domain_1,
244  typename Range_2,
245  typename Domain_2,
246  typename Payload>
252 {
253  // We return the result of the compound LinearOperator
254  // directly, so as to ensure that the underlying Payload
255  // definition aligns with the operations expressed here.
256  // All of the memory allocations etc. are taken care of
257  // internally.
258  if (D.is_null_operator == false)
259  return D - C * A_inv * B;
260  else
261  return -1.0 * C * A_inv * B;
262 }
263 
265 
266 
271 
293 template <typename Range_1,
294  typename Domain_1,
295  typename Range_2,
296  typename Payload>
300  const Range_1 & f,
301  const Range_2 & g)
302 {
303  // We return the result of the compound PackagedOperation
304  // directly, so as to ensure that the underlying Payload
305  // definition aligns with the operations expressed here.
306  // All of the memory allocations etc. are taken care of
307  // internally.
308  return g - C * A_inv * f;
309 }
310 
331 template <typename Range_1,
332  typename Domain_1,
333  typename Domain_2,
334  typename Payload>
339  const Domain_2 & y,
340  const Range_1 & f)
341 {
342  // We return the result of the compound PackagedOperation
343  // directly, so as to ensure that the underlying Payload
344  // definition aligns with the operations expressed here.
345  // All of the memory allocations etc. are taken care of
346  // internally.
347  return A_inv * (f - B * y);
348 }
349 
351 
353 
354 #endif
#define DEAL_II_NAMESPACE_OPEN
Definition: config.h:442
#define DEAL_II_NAMESPACE_CLOSE
Definition: config.h:443
PackagedOperation< Range_2 > condense_schur_rhs(const LinearOperator< Range_1, Domain_1, Payload > &A_inv, const LinearOperator< Range_2, Domain_1, Payload > &C, const Range_1 &f, const Range_2 &g)
LinearOperator< Range_2, Domain_2, Payload > schur_complement(const LinearOperator< Domain_1, Range_1, Payload > &A_inv, const LinearOperator< Range_1, Domain_2, Payload > &B, const LinearOperator< Range_2, Domain_1, Payload > &C, const LinearOperator< Range_2, Domain_2, Payload > &D)
PackagedOperation< Domain_1 > postprocess_schur_solution(const LinearOperator< Range_1, Domain_1, Payload > &A_inv, const LinearOperator< Range_1, Domain_2, Payload > &B, const Domain_2 &y, const Range_1 &f)
SymmetricTensor< 2, dim, Number > C(const Tensor< 2, dim, Number > &F)