Added BackslashSolver

Author: fverdugo

src/Algebra/LinearSolvers.jl

@@ -15,6 +15,7 @@ export numerical_setup
 export numerical_setup!
 export test_linear_solver
 export LUSolver
+export BackslashSolver
 
 abstract type LinearSolver end
 
@@ -80,4 +81,26 @@ function solve!(
   x .= y
 end
 
+"""
+Wrapper of the backslash solver available in julia
+This is typically faster than LU for a single solve
+"""
+struct BackslashSolver <: LinearSolver end
+
+struct BackslashSymbolicSetup <: SymbolicSetup end
+
+struct BackslashNumericalSetup <: NumericalSetup end
+
+symbolic_setup(::BackslashSolver,mat::AbstractMatrix) = BackslashSymbolicSetup()
+
+numerical_setup(::BackslashSymbolicSetup,mat::AbstractMatrix) = BackslashNumericalSetup()
+
+function numerical_setup!(ns::BackslashNumericalSetup, mat::AbstractMatrix)
+end
+
+function solve!(
+  x::AbstractVector,ns::BackslashNumericalSetup,A::AbstractMatrix,b::AbstractVector)
+   copyto!(x, A\b)
+end
+
 end

test/AlgebraTests/LinearSolversTests.jl

@@ -28,4 +28,13 @@ b = A*x
 
 test_linear_solver(ls,A,b,x)
 
+n = 10
+A = Laplacian(n,n,1,1)
+x = rand(n^2)
+b = A*x
+
+ls = BackslashSolver()
+
+test_linear_solver(ls,A,b,x)
+
 end # module LinearSolversTests