From d25b28b7243cfbfe72767bd445df2a7c31a88956 Mon Sep 17 00:00:00 2001
From: Christophe Geuzaine <cgeuzaine@ulg.ac.be>
Date: Thu, 15 Mar 2018 18:44:41 +0100
Subject: [PATCH] Update microstrip.pro
---
Electrostatics/microstrip.pro | 28 ++++++++++++++--------------
1 file changed, 14 insertions(+), 14 deletions(-)
diff --git a/Electrostatics/microstrip.pro b/Electrostatics/microstrip.pro
index c37beb8..54c453e 100644
--- a/Electrostatics/microstrip.pro
+++ b/Electrostatics/microstrip.pro
@@ -104,10 +104,10 @@ Group{
FunctionSpace {
/* The function space in which we shall pick the electric scalar potential "v"
- solution is definied by
+ solution is defined by
- a domain of definition (the "Support": "Dom_Hgrad_v_Ele")
- a type ("Form0" means scalar field)
- - a set of scalar basis functions ("BF_Node" means nodal basis functions)
+ - a set of basis functions ("BF_Node" means scalar nodal basis functions)
- a set of entities to which the basis functions are associated ("Entity":
here all the nodes of the domain of definition "NodesOf[All]")
- a constraint (here the Dirichlet boundary conditions)
@@ -116,11 +116,11 @@ FunctionSpace {
v(x,y) = Sum_k vn_k sn_k(x,y)
- where the "vn_k" are the nodal values (connectors) and "sn_k(x,y)" the
- nodal basis functions. Not all connectors are unknowns of the FE problem,
- due to the "Constraint", which assigns particular values to the nodes of
- the Ground and Electrode regions. GetDP deals with that automatically on
- basis of the definition of the FunctionSpace. */
+ where the "vn_k" coefficients are the nodal values (connectors) and
+ "sn_k(x,y)" the nodal basis functions. Not all connectors are unknowns of
+ the FE problem, due to the "Constraint", which assigns particular values to
+ the nodes of the Ground and Electrode regions. GetDP deals with that
+ automatically on basis of the definition of the FunctionSpace. */
{ Name Hgrad_v_Ele; Type Form0;
BasisFunction {
@@ -128,7 +128,7 @@ FunctionSpace {
Support Dom_Hgrad_v_Ele; Entity NodesOf[ All ]; }
// using "NodesOf[All]" instead of "NodesOf[Dom_Hgrad_v_Ele]" is an
// optimization, which allows GetDP to not explicitly build the list of
- // all nodes
+ // all the nodes
}
Constraint {
{ NameOfCoef vn; EntityType NodesOf; NameOfConstraint Dirichlet_Ele; }
@@ -140,8 +140,8 @@ Jacobian {
/* Jacobians are used to specify the mapping between elements in the mesh and
the reference elements (defined in standardized unit cells) over which
integration is performed. "Vol" represents the classical 1-to-1 mapping
- between elements of identical geometrical dimension, i.e. in this case a
- reference triangle/quadrangle onto triangles/quadrangles in the z=0 plane
+ between identical spatial dimensions, i.e. in this case a reference
+ triangle/quadrangle onto triangles/quadrangles in the z=0 plane
(2D <-> 2D). "Sur" would be used to map the reference triangle/quadrangle
onto triangles/quadrangles in a 3D space (2D <-> 3D), or to map the
reference line segment onto segments in 2D space (1D <-> 2D). "Lin" would
@@ -178,15 +178,15 @@ Formulation {
(-Div(epsilon Grad v) , v')_Vol_Ele = 0
holds for all so-called "test-functions" v', where (.,.)_D denotes an inner
- product over the domain D. If the test-functions v' are differentiable,
+ product over a domain D. If the test-functions v' are differentiable,
integration by parts using Green's identity leads to finding v such that
(epsilon Grad v, Grad v')_Vol_Ele + (epsilon n.Grad v, v')_Bnd_Vol_Ele = 0
holds for all v', where Bnd_Vol_Ele is the boundary of Vol_Ele. In our
- microstrip example this surface term vanishes, as either there is no test
- function v' (on the Dirichlet boundary) or the "epsilon n.Grad v" is zero
- (on the homogeneous Neumann boundary). We are thus eventually looking for
+ microstrip example this surface term vanishes, as there is either no test
+ function v' (on the Dirichlet boundary), or "epsilon n.Grad v" is zero
+ (on the homogeneous Neumann boundary. We are thus eventually looking for
functions v in the function space Hgrad_v_Ele such that
(epsilon Grad v, Grad v')_Vol_Ele = 0
--
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