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Commit 12f6e931 authored by Christoph Lehmann's avatar Christoph Lehmann Committed by Tom Fischer
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[Doc] added formulae

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...@@ -6,4 +6,6 @@ the norm of the whole solution vector, i.e., the entirety of all process ...@@ -6,4 +6,6 @@ the norm of the whole solution vector, i.e., the entirety of all process
variables. variables.
At least one of the relative or absolute tolerance has to be met in order to At least one of the relative or absolute tolerance has to be met in order to
satisfy this convergence criterion. satisfy this convergence criterion, i.e., the following has to hold (with errors
\f$e\f$ and tolerances \f$t\f$):
\f[ e_{\mathrm{abs}} \le t_{\mathrm{abs}} \vee e_{\mathrm{rel}} \le t_{\mathrm{rel}} \f]
...@@ -7,4 +7,6 @@ vectorial process variable, to each vector component) of the solution vector ...@@ -7,4 +7,6 @@ vectorial process variable, to each vector component) of the solution vector
individually. individually.
For each component at least one of the relative or absolute tolerance has to be For each component at least one of the relative or absolute tolerance has to be
met in order to satisfy this convergence criterion. met in order to satisfy this convergence criterion, i.e., the following has to
hold (with errors \f$e\f$ and tolerances \f$t\f$):
\f[ e_{\mathrm{abs}} \le t_{\mathrm{abs}} \vee e_{\mathrm{rel}} \le t_{\mathrm{rel}} \f]
...@@ -7,4 +7,6 @@ vectorial process variable, to each vector component) of the residuum vector ...@@ -7,4 +7,6 @@ vectorial process variable, to each vector component) of the residuum vector
individually. individually.
For each component at least one of the relative or absolute tolerance has to be For each component at least one of the relative or absolute tolerance has to be
met in order to satisfy this convergence criterion. met in order to satisfy this convergence criterion, i.e., the following has to
hold (with errors \f$e\f$ and tolerances \f$t\f$):
\f[ e_{\mathrm{abs}} \le t_{\mathrm{abs}} \vee e_{\mathrm{rel}} \le t_{\mathrm{rel}} \f]
...@@ -5,4 +5,6 @@ A relative and/or absolute tolerance value can be specified, which is applied to ...@@ -5,4 +5,6 @@ A relative and/or absolute tolerance value can be specified, which is applied to
the norm of the whole residuum vector. the norm of the whole residuum vector.
At least one of the relative or absolute tolerance has to be met in order to At least one of the relative or absolute tolerance has to be met in order to
satisfy this convergence criterion. satisfy this convergence criterion, i.e., the following has to hold (with errors
\f$e\f$ and tolerances \f$t\f$):
\f[ e_{\mathrm{abs}} \le t_{\mathrm{abs}} \vee e_{\mathrm{rel}} \le t_{\mathrm{rel}} \f]
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