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Update GMRES Comments (#4243)
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Forgot to list `void scale(V& v, RT fac)` in the list of required
functions.
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WeiqunZhang authored Nov 22, 2024
1 parent 1424c86 commit 12d6af2
Showing 1 changed file with 40 additions and 22 deletions.
62 changes: 40 additions & 22 deletions Src/LinearSolvers/AMReX_GMRES.H
Original file line number Diff line number Diff line change
Expand Up @@ -26,35 +26,53 @@ namespace amrex {
* \tparam V linear algebra vector. It must be default constructible, move
* constructible, and move assignable.
* \tparam M linear operator. A list of required member functions for M is
* shown below. Here RT (typename V::value_type) is either double
* or float.
* - void apply(V& lhs, V const& rhs)\n
* lhs = L(rhs), where L is the linear operator performing matrix
* vector product.
* - void assign(V& lhs, V const& rhs)\n
* lhs = rhs.
* - RT dotProduct(V const& v1, V const& v2)\n
* returns v1 * v2.
* - void increment(V& lhs, V const& rhs, RT a)\n
* lhs += a * rhs.
* - void linComb(V& lhs, RT a, V const& rhs_a, RT b, V const& rhs_b)\n
* lhs = a * rhs_a + b * rhs_b.
* - V makeVecRHS()\n
* shown below. Here RT (`typename M::RT`) is either double or float.
* Examples of implementation for V being a single-component `MultiFab`
* are also given below.
* - `void apply(V& Ax, V const& x)`\n
* Ax = A(x), where A is the linear operator performing matrix
* vector product. Here x is made with the makeVecLHS function.
* Therefore, it may have ghost cells and it's safe to cast it with
* const_cast<V&>(x) and do ghost cell exchange, if necessary.
*
* - `void assign(V& lhs, V const& rhs)`\n
* lhs = rhs. For example, `MultiFab::Copy(lhs,rhs,0,0,1,0)`.
*
* - `RT dotProduct(V const& v1, V const& v2)`\n
* returns v1 * v2. For example, `MultiFab::Dot(v1,0,v2,0,1,0)`.
*
* - `void increment(V& lhs, V const& rhs, RT a)`\n
* lhs += a * rhs. For example, `MultiFab::Saxpy(lhs,a,rhs,0,0,1,0)`.
*
* - `void linComb(V& lhs, RT a, V const& rhs_a, RT b, V const& rhs_b)`\n
* lhs = a * rhs_a + b * rhs_b. For example,
* `MultiFab::LinComb(lhs,a,rhs_a,0,b,rhs_b,0,0,1,0)`.
*
* - `V makeVecRHS()`\n
* returns a V object that is suitable as RHS in M x = b. The reason
* we distinguish between LHS and RHS is M might need the distinction
* for efficiency. For example, if V is MultiFab, we might need the x
* in the LHS of M x = b to have ghost cells for efficiency, whereas
* no ghost cells are needed for the RHS (i.e., b).
* - V makeVecLHS()\n
* no ghost cells are needed for the RHS (i.e., b). An example of the
* implementation might be `return MultiFab(grids,dmap,1,0)`.
*
* - `V makeVecLHS()`\n
* returns a V object that is suitable as LHS in M x = b. See the
* description for makeVecRHS for more details.
* - RT norm2(V const& v)\n
* returns the 2-norm of v.
* - void precond(V& lhs, V const& rhs)\n
* description for makeVecRHS for more details. An example of the
* implementation might be `return MultiFab(grids,dmap,1,1)`.
*
* - `RT norm2(V const& v)`\n
* returns the 2-norm of v. For example, `return v.norm2()`.
*
* - `void precond(V& lhs, V const& rhs)`\n
* applies preconditioner to rhs. If there is no preconditioner,
* this function should do lhs = rhs.
* - void setToZero(V& v)\n
* v = 0.
*
* - `void scale(V& v, RT fac)`\n
* scales v by fac. For example, `v.mult(fac)`.
*
* - `void setToZero(V& v)`\n
* v = 0. For example, `v.setVal(0)`.
*/
template <typename V, typename M>
class GMRES
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