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linear_operator.h
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1/*
2 * Copyright (c) 2013-2015: G-CSC, Goethe University Frankfurt
3 * Author: Andreas Vogel
4 *
5 * This file is part of UG4.
6 *
7 * UG4 is free software: you can redistribute it and/or modify it under the
8 * terms of the GNU Lesser General Public License version 3 (as published by the
9 * Free Software Foundation) with the following additional attribution
10 * requirements (according to LGPL/GPL v3 §7):
11 *
12 * (1) The following notice must be displayed in the Appropriate Legal Notices
13 * of covered and combined works: "Based on UG4 (www.ug4.org/license)".
14 *
15 * (2) The following notice must be displayed at a prominent place in the
16 * terminal output of covered works: "Based on UG4 (www.ug4.org/license)".
17 *
18 * (3) The following bibliography is recommended for citation and must be
19 * preserved in all covered files:
20 * "Reiter, S., Vogel, A., Heppner, I., Rupp, M., and Wittum, G. A massively
21 * parallel geometric multigrid solver on hierarchically distributed grids.
22 * Computing and visualization in science 16, 4 (2013), 151-164"
23 * "Vogel, A., Reiter, S., Rupp, M., Nägel, A., and Wittum, G. UG4 -- a novel
24 * flexible software system for simulating pde based models on high performance
25 * computers. Computing and visualization in science 16, 4 (2013), 165-179"
26 *
27 * This program is distributed in the hope that it will be useful,
28 * but WITHOUT ANY WARRANTY; without even the implied warranty of
29 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
30 * GNU Lesser General Public License for more details.
31 */
32
33#ifndef __H__LIB_ALGEBRA__OPERATOR__INTERFACE__LINEAR_OPERATOR__
34#define __H__LIB_ALGEBRA__OPERATOR__INTERFACE__LINEAR_OPERATOR__
35
36#include "operator.h"
37
38namespace ug{
39
41// Linearized Operator
43
45
78template <typename X, typename Y = X>
79class ILinearOperator : public IOperator<X,Y>
80{
81 public:
84
87
88 public:
90
101 virtual void init(const X& u) = 0;
102
104
111 virtual void init() = 0;
112
114 virtual void prepare(X& u) {}
115
116 // applies the operator
126 virtual void apply(Y& f, const X& u) = 0;
127
128 // applies the operator and subtracts the result from the input
139 virtual void apply_sub(Y& f, const X& u) = 0;
140
142 virtual ~ILinearOperator() {};
143};
144
145}
146#endif /* __H__LIB_ALGEBRA__OPERATOR__INTERFACE__LINEAR_OPERATOR__ */
describes a linear mapping X->Y
Definition linear_operator.h:80
virtual void apply_sub(Y &f, const X &u)=0
virtual void init()=0
init operator
virtual void prepare(X &u)
default implementation for IOperator interface
Definition linear_operator.h:114
X domain_function_type
Domain space.
Definition linear_operator.h:83
virtual void init(const X &u)=0
init operator depending on a function u
virtual ~ILinearOperator()
virtual destructor
Definition linear_operator.h:142
virtual void apply(Y &f, const X &u)=0
Y codomain_function_type
Range space.
Definition linear_operator.h:86
describes a mapping X->Y
Definition operator.h:86
the ug namespace