-
1
-
-
84980080664
-
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II
-
S. AGMON, A. DOUGLIS, AND L. NIRENBERG, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II, Comm. Pure Appl. Math., 17 (1964), pp. 35-92.
-
(1964)
Comm. Pure Appl. Math.
, vol.17
, pp. 35-92
-
-
Agmon, S.1
Douglis, A.2
Nirenberg, L.3
-
2
-
-
84966251556
-
Least-squares methods for elliptic systems
-
[AKS] A. K. AZIZ, R. B. KELLOGG, AND A. B. STEPHENS, Least-squares methods for elliptic systems, Math. Comp., 44 (1985), pp. 53-70.
-
(1985)
Math. Comp.
, vol.44
, pp. 53-70
-
-
Aziz, A.K.1
Kellogg, R.B.2
Stephens, A.B.3
-
3
-
-
34250459417
-
The finite element method with Lagrange multipliers
-
I. BABUŠKA, The finite element method with Lagrange multipliers, Numer. Math., 20 (1973), pp. 179-192.
-
(1973)
Numer. Math.
, vol.20
, pp. 179-192
-
-
Babuška, I.1
-
4
-
-
77957137131
-
Towards object oriented software tools for numerical multiscale methods for p.d.e.s using wavelets
-
W. Dahmen, A. Kurdila, and P. Oswald, eds., Academic Press, San Diego, CA
-
T. BARSCH. A. KUNOTH, AND K. URBAN, Towards object oriented software tools for numerical multiscale methods for p.d.e.s using wavelets, in Multiscale Wavelet Methods for Partial Differential Equations, W. Dahmen, A. Kurdila, and P. Oswald, eds., Academic Press, San Diego, CA, 1997, pp. 383-412.
-
(1997)
Multiscale Wavelet Methods for Partial Differential Equations
, pp. 383-412
-
-
Barsch, T.1
Kunoth, A.2
Urban, K.3
-
5
-
-
0000102411
-
Stabilization by multiscale decomposition
-
S. BERTOLUZZA, Stabilization by multiscale decomposition, Appl. Math. Lett., 11 (1998), pp. 129-134.
-
(1998)
Appl. Math. Lett.
, vol.11
, pp. 129-134
-
-
Bertoluzza, S.1
-
6
-
-
0034375557
-
Wavelet stabilization of the Lagrange multiplier method
-
S. BERTOLUZZA, Wavelet stabilization of the Lagrange multiplier method, Numer. Math., 86 (2000), pp. 1-28.
-
(2000)
Numer. Math.
, vol.86
, pp. 1-28
-
-
Bertoluzza, S.1
-
7
-
-
0031518552
-
A least-squares approach based on a discrete minus one inner product for first order systems
-
J. H. BRAMBLE, R. D. LAZAROV, AND J. E. PASCIAK, A least-squares approach based on a discrete minus one inner product for first order systems, Math. Comp., 66 (1997), pp. 935-955.
-
(1997)
Math. Comp.
, vol.66
, pp. 935-955
-
-
Bramble, J.H.1
Lazarov, R.D.2
Pasciak, J.E.3
-
8
-
-
0031695756
-
Least-squares for second order elliptic problems
-
J. H. BRAMBLE, R. D. LAZAROV, AND J. E. PASCIAK, Least-squares for second order elliptic problems, Comp. Methods Appl. Mech. Engrg., 152 (1998), pp. 195-210.
-
(1998)
Comp. Methods Appl. Mech. Engrg.
, vol.152
, pp. 195-210
-
-
Bramble, J.H.1
Lazarov, R.D.2
Pasciak, J.E.3
-
9
-
-
0003966593
-
-
Cambridge University Press, Cambridge, UK
-
D. BRAESS, Finite Elements: Theory, Fast Solvers and Applications in Solid Mechanics, Cambridge University Press, Cambridge, UK, 1997.
-
(1997)
Finite Elements: Theory, Fast Solvers and Applications in Solid Mechanics
-
-
Braess, D.1
-
10
-
-
84968466812
-
Least squares methods for 2mth order elliptic boundary-value problems
-
J. H. BRAMBLE AND A. H. SCHATZ, Least squares methods for 2mth order elliptic boundary-value problems, Math. Comp., 25 (1971), pp. 1-32.
-
(1971)
Math. Comp.
, vol.25
, pp. 1-32
-
-
Bramble, J.H.1
Schatz, A.H.2
-
12
-
-
0007372257
-
The wavelet element method, part I: Construction and analysis
-
C. CANUTO, A. TABACCO, AND K. URBAN, The wavelet element method, part I: Construction and analysis, Appl. Comput. Harmon. Anal., 6 (1999), pp. 1-52.
-
(1999)
Appl. Comput. Harmon. Anal.
, vol.6
, pp. 1-52
-
-
Canuto, C.1
Tabacco, A.2
Urban, K.3
-
13
-
-
0028747782
-
First-order system least squares for second-order partial differential equations: Part I
-
Z. CAI, R. LAZAROV, T. A. MANTEUFFEL, AND S. F. MCCORMICK, First-order system least squares for second-order partial differential equations: Part I, SIAM J. Numer. Anal., 31 (1994), pp. 1785-1799.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 1785-1799
-
-
Cai, Z.1
Lazarov, R.2
Manteuffel, T.A.3
McCormick, S.F.4
-
14
-
-
0000260120
-
First-order system least squares for the Stokes equations, with application to linear elasticity
-
Z. CAI, T. A. MANTEUFFEL, AND S. F. MCCORMICK, First-order system least squares for the Stokes equations, with application to linear elasticity, SIAM J. Numer. Anal., 34 (1997), pp. 1727-1741.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 1727-1741
-
-
Cai, Z.1
Manteuffel, T.A.2
McCormick, S.F.3
-
15
-
-
0035606214
-
Adaptive wavelet methods for elliptic operator equations - Convergence rates
-
A. COHEN, W. DAHMEN, AND R. A. DEVORE, Adaptive wavelet methods for elliptic operator equations - convergence rates, Math. Comp., 70 (2001), pp. 27-75.
-
(2001)
Math. Comp.
, vol.70
, pp. 27-75
-
-
Cohen, A.1
Dahmen, W.2
Devore, R.A.3
-
16
-
-
0034413389
-
Wavelet adaptive methods for second order elliptic problems, boundary conditions and domain decomposition
-
A. COHEN AND R. MASSON, Wavelet adaptive methods for second order elliptic problems, boundary conditions and domain decomposition, Numer. Math., 86 (2000), pp. 193-238.
-
(2000)
Numer. Math.
, vol.86
, pp. 193-238
-
-
Cohen, A.1
Masson, R.2
-
17
-
-
0033297111
-
Wavelet methods for second-order elliptic problems, preconditioning, and adaptivity
-
A. COHEN AND R. MASSON, Wavelet methods for second-order elliptic problems, preconditioning, and adaptivity, SIAM J. Sci. Comput., 21 (1999), pp. 1006-1026.
-
(1999)
SIAM J. Sci. Comput.
, vol.21
, pp. 1006-1026
-
-
Cohen, A.1
Masson, R.2
-
18
-
-
84990623513
-
Biorthogonal bases of compactly supported wavelets
-
A. COHEN, I. DAUBECHIES, AND J.-C. FEAUVEAU, Biorthogonal bases of compactly supported wavelets, Comm. Pure Appl. Math., 45 (1992), pp. 485-560.
-
(1992)
Comm. Pure Appl. Math.
, vol.45
, pp. 485-560
-
-
Cohen, A.1
Daubechies, I.2
Feauveau, J.-C.3
-
19
-
-
0025505601
-
Coupling of finite and boundary element methods for an elastoplastic interface problem
-
M. COSTABEL AND E. P. STEPHAN, Coupling of finite and boundary element methods for an elastoplastic interface problem, SIAM J. Numer. Anal., 27 (1990), pp. 1212-1226.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 1212-1226
-
-
Costabel, M.1
Stephan, E.P.2
-
20
-
-
0031069391
-
Stable multiscale bases and local error estimation for elliptic problems
-
S. DAHLKE, W. DAHMEN, R. HOCHMUTH, AND R. SCHNEIDER, Stable multiscale bases and local error estimation for elliptic problems, Appl. Numer. Math., 8 (1997), pp. 21-47.
-
(1997)
Appl. Numer. Math.
, vol.8
, pp. 21-47
-
-
Dahlke, S.1
Dahmen, W.2
Hochmuth, R.3
Schneider, R.4
-
21
-
-
1842484444
-
Stability of multiscale transformations
-
W. DAHMEN, Stability of multiscale transformations, J. Fourier Anal. Appl., 4 (1996), pp. 341-362.
-
(1996)
J. Fourier Anal. Appl.
, vol.4
, pp. 341-362
-
-
Dahmen, W.1
-
22
-
-
85011480386
-
Wavelet and multiscale methods for operator equations
-
W. DAHMEN, Wavelet and multiscale methods for operator equations, Acta Numer., 6 (1997), pp. 55-228.
-
(1997)
Acta Numer.
, vol.6
, pp. 55-228
-
-
Dahmen, W.1
-
23
-
-
0035585768
-
Appending boundary conditions by Lagrange multipliers: Analysis of the LBB condition
-
W. DAHMEN AND A. KUNOTH, Appending boundary conditions by Lagrange multipliers: Analysis of the LBB condition, Numer. Math., 88 (2001), pp. 9-42.
-
(2001)
Numer. Math.
, vol.88
, pp. 9-42
-
-
Dahmen, W.1
Kunoth, A.2
-
24
-
-
0347048393
-
-
manuscript, October also available online from
-
W. DAHMEN, A. KUNOTH, AND R. SCHNEIDER, Wavelet least squares methods for boundary value problems - Extended version, manuscript, October 2000, also available online from http://www.iam.uni-bonn.de/~kunoth/papers.
-
(2000)
Wavelet Least Squares Methods for Boundary Value Problems - Extended Version
-
-
Dahmen, W.1
Kunoth, A.2
Schneider, R.3
-
25
-
-
0001787026
-
Biorthogonal spline-wavelets on the interval -Stability and moment conditions
-
W. DAHMEN, A. KUNOTH, AND K. URBAN, Biorthogonal spline-wavelets on the interval -Stability and moment conditions, Appl. Comput. Harmon. Anal., 6 (1999), pp. 132-196.
-
(1999)
Appl. Comput. Harmon. Anal.
, vol.6
, pp. 132-196
-
-
Dahmen, W.1
Kunoth, A.2
Urban, K.3
-
26
-
-
0000827236
-
Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution
-
W. DAHMEN, S. PRÖSSDORF, AND R. SCHNEIDER, Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution, Adv. Comput. Math., 1 (1993), pp. 259-335.
-
(1993)
Adv. Comput. Math.
, vol.1
, pp. 259-335
-
-
Dahmen, W.1
Prössdorf, S.2
Schneider, R.3
-
27
-
-
85011468924
-
Multiscale methods for pseudodifferential equations on smooth manifolds
-
C. K. Chui, L. Montefusco, and L. Puccio, eds., Academic Press, San Diego, CA
-
W. DAHMEN, S. PRÖSSDORF, AND R. SCHNEIDER, Multiscale methods for pseudodifferential equations on smooth manifolds, in Wavelets: Theory, Algorithms, and Applications, C. K. Chui, L. Montefusco, and L. Puccio, eds., Academic Press, San Diego, CA, 1994, pp. 385-424.
-
(1994)
Wavelets: Theory, Algorithms, and Applications
, pp. 385-424
-
-
Dahmen, W.1
Prössdorf, S.2
Schneider, R.3
-
28
-
-
0033426280
-
Composite wavelet bases for operator equations
-
W. DAHMEN AND R. SCHNEIDER, Composite wavelet bases for operator equations, Math. Comp., 68 (1999), pp. 1533-1567.
-
(1999)
Math. Comp.
, vol.68
, pp. 1533-1567
-
-
Dahmen, W.1
Schneider, R.2
-
29
-
-
0033233501
-
Wavelets on manifolds I: Construction and domain decomposition
-
W. DAHMEN AND R. SCHNEIDER, Wavelets on manifolds I: Construction and domain decomposition, SIAM J. Math. Anal., 31 (1999), pp. 184-230.
-
(1999)
SIAM J. Math. Anal.
, vol.31
, pp. 184-230
-
-
Dahmen, W.1
Schneider, R.2
-
30
-
-
0000930347
-
Element-by-element construction of wavelets satisfying stability and moment conditions
-
W. DAHMEN AND R. STEVENSON, Element-by-element construction of wavelets satisfying stability and moment conditions, SIAM J. Numer. Anal., 37 (1999), pp. 319-352.
-
(1999)
SIAM J. Numer. Anal.
, vol.37
, pp. 319-352
-
-
Dahmen, W.1
Stevenson, R.2
-
31
-
-
0003541858
-
Boundary-Field Equation Methods for a Class of Nonlinear Problems
-
Longman Scientific and Technical, Harlow, UK
-
G. N. GATICA AND G. C. HSIAO, Boundary-Field Equation Methods for a Class of Nonlinear Problems, Pitman Res. Notes Math. Ser. 331, Longman Scientific and Technical, Harlow, UK, 1995.
-
(1995)
Pitman Res. Notes Math. Ser. 331
-
-
Gatica, G.N.1
Hsiao, G.C.2
-
32
-
-
0346418107
-
-
SFB 393 preprint 01-32, Technische Universität Chemnitz, Chemnitz, Germany
-
G. GATICA, H. HARBRECHT, AND R. SCHNEIDER, Least Squares Methods for the Coupling of FEM and BEM, SFB 393 preprint 01-32, Technische Universität Chemnitz, Chemnitz, Germany
-
Least Squares Methods for the Coupling of FEM and BEM
-
-
Gatica, G.1
Harbrecht, H.2
Schneider, R.3
-
34
-
-
0001217594
-
Error analysis of a fictitious domain method applied to a Dirichlet problem
-
R. GLOWINSKI AND V. GIRAULT, Error analysis of a fictitious domain method applied to a Dirichlet problem, Japan J. Indust. Appl. Maths., 12 (1995), pp. 487-514.
-
(1995)
Japan J. Indust. Appl. Maths.
, vol.12
, pp. 487-514
-
-
Glowinski, R.1
Girault, V.2
-
35
-
-
0026843540
-
Treating inhomogeneous essential boundary conditions in finite element methods and the calculation of boundary stresses
-
M. D. GUNZBURGER AND S. L. HOU, Treating inhomogeneous essential boundary conditions in finite element methods and the calculation of boundary stresses, SIAM J. Numer. Anal., 29 (1992), pp. 390-424.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 390-424
-
-
Gunzburger, M.D.1
Hou, S.L.2
-
36
-
-
84980075333
-
Constructive proofs of representation theorems in separable Hilbert spaces
-
S. HILDEBRANDT AND E. WIENHOLTZ, Constructive proofs of representation theorems in separable Hilbert spaces, Comm. Pure Appl. Math., 17 (1964), pp. 369-373.
-
(1964)
Comm. Pure Appl. Math.
, vol.17
, pp. 369-373
-
-
Hildebrandt, S.1
Wienholtz, E.2
-
37
-
-
0040455480
-
A least-square decomposition method for solving elliptic systems
-
[J] D. C. JESPERSEN, A least-square decomposition method for solving elliptic systems, Math. Comp., 31 (1977), pp. 873-880.
-
(1977)
Math. Comp.
, vol.31
, pp. 873-880
-
-
Jespersen, D.C.1
-
38
-
-
0141827569
-
Wavelet Methods - Elliptic Boundary Value Problems and Control Problems
-
Teubner, Stuttgart, Germany
-
A. KUNOTH, Wavelet Methods - Elliptic Boundary Value Problems and Control Problems, Adv. Numer. Math., Teubner, Stuttgart, Germany, 2001.
-
(2001)
Adv. Numer. Math.
-
-
Kunoth, A.1
-
39
-
-
0039270843
-
On finite element approximation of the gradient for solution of Poisson equation
-
P. NEITTAANMÄKI AND J. SARANEN, On finite element approximation of the gradient for solution of Poisson equation, Numer. Math., 37 (1981), pp. 333-337.
-
(1981)
Numer. Math.
, vol.37
, pp. 333-337
-
-
Neittaanmäki, P.1
Saranen, J.2
-
40
-
-
0028517692
-
Least-squares mixed finite elements for second-order elliptic problems
-
A. I. PEHLIVANOV, G. F. CAREY, AND R. D. LAZAROV, Least-squares mixed finite elements for second-order elliptic problems, SIAM J. Numer. Anal., 31 (1994), pp. 1368-1377.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 1368-1377
-
-
Pehlivanov, A.I.1
Carey, G.F.2
Lazarov, R.D.3
-
41
-
-
0005647354
-
Multiskalen- Und Wavelet-Matrixkompression: Analysisbasierte Methoden zur effizienten Lösung großer vollbesetzter Gleichungssysteme
-
Teubner, Stuttgart, Germany
-
R. SCHNEIDER, Multiskalen- und Wavelet-Matrixkompression: Analysisbasierte Methoden zur effizienten Lösung großer vollbesetzter Gleichungssysteme, Adv. Numer. Math., Teubner, Stuttgart, Germany, 1998.
-
(1998)
Adv. Numer. Math.
-
-
Schneider, R.1
-
42
-
-
0042233269
-
Multilevel boundary functionals for least-squares mixed finite element methods
-
G. STARKE, Multilevel boundary functionals for least-squares mixed finite element methods, SIAM J. Numer. Anal., 36 (1999), pp. 1065-1077.
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, pp. 1065-1077
-
-
Starke, G.1
|