diff --git a/dev/hypre-matrix-vector/index.html b/dev/hypre-matrix-vector/index.html index 4722cca..b3fd2c9 100644 --- a/dev/hypre-matrix-vector/index.html +++ b/dev/hypre-matrix-vector/index.html @@ -1,5 +1,5 @@ -Matrix/vector representation · HYPRE.jl
GitHub

Matrix/vector representation

HYPRE.jl defines the structs HYPREMatrix and HYPREVector representing HYPREs datastructures. Specifically it uses the IJ System Interface which can be used for general sparse matrices.

HYPRE.jl defines conversion methods from standard Julia datastructures to HYPREMatrix and HYPREVector, respectively.

PartitionedArrays.jl (multi-process)

HYPRE.jl integrates seemlessly with PSparseMatrix and PVector from the PartitionedArrays.jl package. These can be passed directly to solve and solve!. Internally this will construct a HYPREMatrix and HYPREVectors and then convert the solution back to a PVector.

The HYPREMatrix constructor supports both SparseMatrixCSC and SparseMatrixCSR as storage backends for the PSparseMatrix. However, since HYPREs internal storage is also CSR based it can be slightly more resource efficient to use SparseMatrixCSR.

The constructors also supports both PartitionedArrays.jl backends: When using the MPI backend the communicator of the PSparseMatrix/PVector is used also for the HYPREMatrix/HYPREVector, and when using the Sequential backend it is assumed to be a single-process setup, and the global communicator MPI.COMM_WORLD is used.

Example pseudocode

# Assemble linear system (see documentation for PartitionedArrays)
+Matrix/vector representation · HYPRE.jl
GitHub
Matrix/vector representation
HYPRE.jl defines the structs HYPREMatrix and HYPREVector representing HYPREs datastructures. Specifically it uses the IJ System Interface which can be used for general sparse matrices.
HYPRE.jl defines conversion methods from standard Julia datastructures to HYPREMatrix and HYPREVector, respectively. See the following sections for details:
PartitionedArrays.jl (multi-process)
HYPRE.jl integrates seemlessly with PSparseMatrix and PVector from the PartitionedArrays.jl package. These can be passed directly to solve and solve!. Internally this will construct a HYPREMatrix and HYPREVectors and then convert the solution back to a PVector.
The HYPREMatrix constructor support both SparseMatrixCSC and SparseMatrixCSR as storage backends for the PSparseMatrix. However, since HYPREs internal storage is also CSR based it can be slightly more resource efficient to use SparseMatrixCSR.
The constructors also support both PartitionedArrays.jl backends: When using the MPI backend the communicator of the PSparseMatrix/PVector is used also for the HYPREMatrix/HYPREVector, and when using the Sequential backend it is assumed to be a single-process setup, and the global communicator MPI.COMM_WORLD is used.
Example pseudocode
# Assemble linear system (see documentation for PartitionedArrays)
 A = PSparseMatrix(...)
 b = PVector(...)
 
@@ -21,4 +21,13 @@ b_h = HYPREVector(b)
 solve!(solver, x_h, A_h, b_h)
 
 # Copy solution back to x
-copy!(x, x_h)
SparseMatrixCSC / SparseMatrixCSR (single-process)
SparseMatrixCSC / SparseMatrixCSR (multi-process)
Warning
This interface isn't finalized yet and is subject to change.

+copy!(x, x_h)

SparseMatrixCSC / SparseMatrixCSR (single-process)

HYPRE.jl also support working directly with SparseMatrixCSC (from the SparseArrays.jl standard library) and SparseMatrixCSR (from the SparseMatricesCSR.jl package). This makes it possible to use solvers and preconditioners even for single-process problems. When using these type of spars matrices it is assumed that the right hand side and solution vectors are regular Julia Vectors.

Just like when using the PartitionedArrays.jl package, it is possible to pass sparse matrices directly to solve and solve!, but it is also possible to create HYPREMatrix and HYPREVector explicitly, possibly saving some resources when doing multiple consecutive linear solves (see previous section).

Example pseudocode

A = SparseMatrixCSC(...)
+x = Vector(...)
+b = Vector(...)
+
+# Solve with zero initial guess
+x = solve(solver, A, b)
+
+# Inplace solve with x as initial guess
+x = zeros(length(b))
+solve!(solver, x, A, b)

SparseMatrixCSC / SparseMatrixCSR (multi-process)

Warning

This interface isn't finalized yet and is therefore not documented since it is subject to change.

diff --git a/dev/index.html b/dev/index.html index f17944f..5badd90 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Home · HYPRE.jl
GitHub

HYPRE.jl

HYPRE.jl is a Julia wrapper for the HYPRE library, which provide parallel solvers for sparse linear systems.

High level interface

HYPRE.jl provide a high level interface to the HYPRE library. The goal of this interface is that the style and API should feel natural to most Julia programmers (it is "Julian"). In particular, you can use standard sparse matrices together with HYPRE's solvers through this interface.

The high level interface does not (currently) provide access to all of HYPREs functionality, but it can easily be combined with the low level interface when necessary.

Low level interface

HYPRE.jl also provide a low level interface for interacting with HYPRE. The goal of this interface is to stay close to the HYPRE C API. In fact, this interface is automatically generated based on HYPRE's header files, so this API maps one-to-one with the C API, see LibHYPRE C API for more details.

+Home · HYPRE.jl
GitHub

HYPRE.jl

HYPRE.jl is a Julia wrapper for the HYPRE library, which provide parallel solvers for sparse linear systems.

High level interface

HYPRE.jl provide a high level interface to the HYPRE library. The goal of this interface is that the style and API should feel natural to most Julia programmers (it is "Julian"). In particular, you can use standard sparse matrices together with HYPRE's solvers through this interface.

The high level interface does not (currently) provide access to all of HYPREs functionality, but it can easily be combined with the low level interface when necessary.

Low level interface

HYPRE.jl also provide a low level interface for interacting with HYPRE. The goal of this interface is to stay close to the HYPRE C API. In fact, this interface is automatically generated based on HYPRE's header files, so this API maps one-to-one with the C API, see LibHYPRE C API for more details.

diff --git a/dev/libhypre/index.html b/dev/libhypre/index.html index 0908d0b..55c5651 100644 --- a/dev/libhypre/index.html +++ b/dev/libhypre/index.html @@ -1,2 +1,2 @@ -LibHYPRE C API · HYPRE.jl
GitHub

LibHYPRE C API

The submodule HYPRE.LibHYPRE contains auto-generated bindings to the HYPRE library and give access to the HYPRE C API directly[1]. The module exports all HYPRE_* symbols. Function names and arguments are identical to the C-library – refer to the HYPRE manual for details.

The example program examples/ex5.jl is an (almost) line-to-line translation of the corresponding example program examples/ex5.c written in C, and showcases how HYPRE.jl can be used to interact with the HYPRE library directly.

Functions from the LibHYPRE submodule can be used together with the high level interface. This is useful when you need some functionality from the library which isn't exposed in the high level interface. Many functions require passing a reference to a matrix/vector or a solver. These can be obtained as follows:

C type signatureArgument to pass
HYPRE_IJMatrixA.ijmatrix where A::HYPREMatrix
HYPRE_ParCSRMatrixA.parmatrix where A::HYPREMatrix
HYPRE_IJVectorb.ijvector where b::HYPREVector
HYPRE_ParVectorb.parvector where b::HYPREVector
HYPRE_Solvers.solver where s::HYPRESolver
+LibHYPRE C API · HYPRE.jl
GitHub

LibHYPRE C API

The submodule HYPRE.LibHYPRE contains auto-generated bindings to the HYPRE library and give access to the HYPRE C API directly[1]. The module exports all HYPRE_* symbols. Function names and arguments are identical to the C-library – refer to the HYPRE manual for details.

The example program examples/ex5.jl is an (almost) line-to-line translation of the corresponding example program examples/ex5.c written in C, and showcases how HYPRE.jl can be used to interact with the HYPRE library directly.

Functions from the LibHYPRE submodule can be used together with the high level interface. This is useful when you need some functionality from the library which isn't exposed in the high level interface. Many functions require passing a reference to a matrix/vector or a solver. These can be obtained as follows:

C type signatureArgument to pass
HYPRE_IJMatrixA.ijmatrix where A::HYPREMatrix
HYPRE_ParCSRMatrixA.parmatrix where A::HYPREMatrix
HYPRE_IJVectorb.ijvector where b::HYPREVector
HYPRE_ParVectorb.parvector where b::HYPREVector
HYPRE_Solvers.solver where s::HYPRESolver
diff --git a/dev/search/index.html b/dev/search/index.html index 9c7eb00..7552e68 100644 --- a/dev/search/index.html +++ b/dev/search/index.html @@ -1,2 +1,2 @@ -Search · HYPRE.jl
GitHub

Loading search...

    +Search · HYPRE.jl
    GitHub

    Loading search...

      diff --git a/dev/search_index.js b/dev/search_index.js index 5383d7f..b17f12f 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"hypre-matrix-vector/#Matrix/vector-representation","page":"Matrix/vector representation","title":"Matrix/vector representation","text":"","category":"section"},{"location":"hypre-matrix-vector/","page":"Matrix/vector representation","title":"Matrix/vector representation","text":"HYPRE.jl defines the structs HYPREMatrix and HYPREVector representing HYPREs datastructures. 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