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90 lines
3.3 KiB
Fortran
90 lines
3.3 KiB
Fortran
!
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!
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! AMG4PSBLAS version 1.0
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! Algebraic Multigrid Package
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! based on PSBLAS (Parallel Sparse BLAS version 3.7)
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!
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! (C) Copyright 2021
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!
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! Salvatore Filippone
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! Pasqua D'Ambra
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! Fabio Durastante
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!
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! Redistribution and use in source and binary forms, with or without
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! modification, are permitted provided that the following conditions
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! are met:
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! 1. Redistributions of source code must retain the above copyright
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! notice, this list of conditions and the following disclaimer.
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! 2. Redistributions in binary form must reproduce the above copyright
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! notice, this list of conditions, and the following disclaimer in the
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! documentation and/or other materials provided with the distribution.
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! 3. The name of the AMG4PSBLAS group or the names of its contributors may
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! not be used to endorse or promote products derived from this
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! software without specific written permission.
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!
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! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
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! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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! POSSIBILITY OF SUCH DAMAGE.
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!
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module amg_d_pde2d_gauss_mod
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use psb_base_mod, only : psb_dpk_, done, dzero
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real(psb_dpk_), save, private :: epsilon=done/80
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contains
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subroutine pde_set_parm2d_gauss(dat)
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real(psb_dpk_), intent(in) :: dat
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epsilon = dat
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end subroutine pde_set_parm2d_gauss
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!
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! functions parametrizing the differential equation
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!
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function b1_gauss(x,y)
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implicit none
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real(psb_dpk_) :: b1_gauss
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real(psb_dpk_), intent(in) :: x,y
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b1_gauss=done/sqrt(3.0_psb_dpk_)-2*x*exp(-(x**2+y**2))
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end function b1_gauss
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function b2_gauss(x,y)
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implicit none
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real(psb_dpk_) :: b2_gauss
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real(psb_dpk_), intent(in) :: x,y
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b2_gauss=done/sqrt(3.0_psb_dpk_)-2*y*exp(-(x**2+y**2))
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end function b2_gauss
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function c_gauss(x,y)
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implicit none
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real(psb_dpk_) :: c_gauss
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real(psb_dpk_), intent(in) :: x,y
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c_gauss=dzero
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end function c_gauss
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function a1_gauss(x,y)
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implicit none
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real(psb_dpk_) :: a1_gauss
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real(psb_dpk_), intent(in) :: x,y
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a1_gauss=epsilon*exp(-(x**2+y**2))
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end function a1_gauss
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function a2_gauss(x,y)
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implicit none
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real(psb_dpk_) :: a2_gauss
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real(psb_dpk_), intent(in) :: x,y
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a2_gauss=epsilon*exp(-(x**2+y**2))
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end function a2_gauss
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function g_gauss(x,y)
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implicit none
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real(psb_dpk_) :: g_gauss
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real(psb_dpk_), intent(in) :: x,y
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g_gauss = dzero
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if (x == done) then
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g_gauss = done
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else if (x == dzero) then
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g_gauss = done
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end if
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end function g_gauss
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end module amg_d_pde2d_gauss_mod
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