Adaptive Eigenvalue Computation - Complexity Estimates (2007)
Dahmen, W., Rohwedder, T., Schneider, R., Zeiser, A.
This paper is concerned with the design and analysis of a fully adaptive eigenvalue solver for linear symmetric operators. After transforming the original problem into an equivalent one formulated on...
"Universal algorithms in learning theory - Part I: piecewise constant functions" (2005)
Cohen, A., Binev, P., Dahmen, W., De Vore, R., Temlyakov, V.
Compression Techniques for Boundary Integral Equations - Optimal . . . (2002)
Preprint Sfb, W. Dahmen, H. Harbrecht, R. Schneider, Tu Chemnitz
In this paper matrix compression techniques in the context of wavelet Galerkin schemes for boundary integral equations are developed and analyzed that exhibit optimal complexity in the following...
Multiscale Concepts for Moving Horizon Optimization (2001)
T. Binder, L. Blank, W. Dahmen, W. Marquardt, M. Grotschel, S. O. Krumke, ...
In chemical engineering complex dynamic optimization problems formulated on moving horizons have to be solved on-line. In this work, we present a multiscale approach based on wavelets where a...
Iterative Algorithms for Multiscale State Estimation, Part 2: Numerical Investigation (2001)
T. Binder, L. Blank, W. Dahmen, W. Marquardt
Usually direct methods are employed for the solution of linear systems arising in the context of optimization. However, motivated by the potential of multiscale refinement schemes for large problems...
F. Bramkamp, M. Hesse, S. Muller, J. Ballmann, K. H. Brakhage, W. Dahmen
this paper we present the main conceptual ingredients and the current state of development of the new solver QUADFLOW for large scale simulations of compressible fluid flow and fluid--structure...
On The Regularization Of Dynamic Data Reconciliation Problems (2001)
T. Binder, L. Blank, W. Dahmen, W. Marquardt
Dynamic data reconciliation problems are discussed from the perspective of the mathematical theory of ill-posed inverse problems. Regularization is of crucial importance to obtain satisfactory...
Iterative Algorithms for Multiscale State Estimation, Part 1: Concept (2001)
T. Binder, L. Blank, W. Dahmen, W. Marquardt
The objective of the present investigation is to explore the potential of multiscale re nement schemes for the numerical solution of dynamic optimization problems arising in connection with chemical...
Adaptive Wavelet Methods II { Beyond the Elliptic Case (2001)
A. Cohen, W. Dahmen, R. Devore
This paper is concerned with the design and analysis of adaptive wavelet methods for systems of operator equations. Its main accomplishment is to extend the range of applicability of the adaptive...
Inverse Inequalities on Non-Quasiuniform Meshes and Application to the Mortar Element Method (2001)
I. G. Graham, W. Dahmen, B. Faermann, W. Hackbusch, S. A. Sauter
We present a range of mesh-dependent inequalities for piecewise constant and continuous piecewise linear finite element functions u defined on locally refined shape-regular (but possibly...
Inverse Inequalities on Non-Quasiuniform Meshes and Application to the Mortar Element Method (2001)
W. Dahmen, B. Faermann, W. Hackbusch, S. A. Sauter
We present a range of mesh-dependent inequalities for piecewise constant and continuous piecewise linear nite element functions u dened on locally rened shape-regular (but possibly non-quasiuniform)...
Adaptive Wavelet Methods II - Beyond the Elliptic Case (2000)
A. Cohen, W. Dahmen, R. Devore
This paper is concerned with the design and analysis of adaptive wavelet methods for systems of operator equations. Its main accomplishment is to extend the range of applicability of the adaptive...
Iterative Multiscale Methods for Process Monitoring (2000)
Der Deutschen, Forschungsgemeinschaft Schwerpunktprogramm, T. Binder, L. Blank, W. Dahmen, W. Marquardt
Process monitoring via state estimation is accomplished by the solution of an appropriately posed optimization problem on a receding horizon. The need of a fast solution of the optimization problem...
Grosser Systeme Echtzeitoptimierung (2000)
Schwerpunktprogramm Der, Deutschen Forschungsgemeinschaft Binder, T. Binder, L. Blank, W. Dahmen, W. Marquardt
In the present work we explore an adaptive discretization scheme for dynamic optimization problems formulated on moving horizons. The proposed method is embedded into a solution methodology where the...
Iterative Algorithms for Multiscale Dynamic Data Reconciliation (2000)
Der Deutschen, Forschungsgemeinschaft Schwerpunktprogramm, T. Binder, L. Blank, W. Dahmen, W. Marquardt
The objective of the present investigation is to explore the potential of multiscale renement schemes for the numerical solution of large constrained dynamic optimization problems arising in...
Grid Refinement in Multiscale Dynamic Optimization (2000)
Schwerpunktprogramm Der, Deutschen Forschungsgemeinschaft Binder, T. Binder, L. Blank, W. Dahmen, W. Marquardt
In the present work we explore an adaptive discretization scheme for dynamic optimization problems applied to input and state estimation. The proposed method is embedded into a solution methodology...
Towards Multiscale Dynamic Data Reconciliation (2000)
Schwerpunktprogramm Der, Deutschen Forschungsgemeinschaft Binder, T. Binder, L. Blank, W. Dahmen, W. Marquardt
Although reconciliation of steady-state process data is routinely applied in industrial practice, the theoretical understanding of the problem and its adequate formulation in a dynamic setting is...
Regularization of Dynamic Data Reconciliation Problems (2000)
Schwerpunktprogramm Der, Deutschen Forschungsgemeinschaft Binder, T. Binder, L. Blank, W. Dahmen, W. Marquardt
Dynamic data reconciliation problems are discussed from the perspective of the mathematical theory of ill-posed inverse problems. Regularization is of crucial importance to obtain satisfactory...
An Adaptive Multiscale Method for Real-Time Moving Horizon Optimization (2000)
Rwth Aachen, T. Binder, L. Blank, W. Dahmen, W. Marquardt
In the present work we explore an adaptive discretization scheme for dynamic optimization problems formulated on moving horizons. The proposed method is embedded into a solution methodology where the...
Grid Refinement in Multiscale Dynamic Optimization (2000)
Rwth Aachen, T. Binder, L. Blank, W. Dahmen, W. Marquardt
In the present work we explore an adaptive discretization scheme for dynamic optimization problems applied to input and state estimation. The proposed method is embedded into a solution methodology...
Multiscale Decompositions on Bounded Domains (2000)
A. Cohen, W. Dahmen, R. Devore
A construction of multiscale decompositions relative to domainsOmega ae IR d is given. Multiscale spaces are constructed onOmega which retain the important features of univariate multiresolution...
Iterative Algorithms for Multiscale Dynamic Data Reconciliation (2000)
T. Binder, L. Blank, W. Dahmen, W. Marquardt
The objective of the present investigation is to explore the potential of multiscale renement schemes for the numerical solution of large constrained dynamic optimization problems arising in...
Regularization Of Dynamic Data Reconciliation Problems By Projection (1999)
T. Binder, L. Blank, W. Dahmen, W. Marquardt
Dynamic data reconciliation problems are discussed from the perspective of the mathematical theory of ill--posed inverse problems. Regularization is of crucial importance to obtain satisfactory...
A Wavelet-Galerkin Method applied to Separation Processes (1999)
R. V. Watzdorf, K. Urban, W. Dahmen, W. Marquardt
flash unit. Applying the usual assumptions 1 (i.e. negligible vapor holdup, equilibrium, perfect stirred liquid phase, no chemical reactions) and assuming a constant molar holdup in the vessel, the...
J.M. Carnicer, W. Dahmen, J.M. Pe~na (1999)
J. M. Carnicer, W. Dahmen, J. M. Pe~na
A convenient setting for studying multiscale techniques in various areas of applications is usually based on a sequence of nested closed subspaces of some function space F which is often referred to...
A Multiscale Method for the Double Layer Potential Equation on a Polyhedron (1997)
W. Dahmen, B. Kleemann, R. Schneider
This paper is concerned with the numerical solution of the double layer potential equation on polyhedra. Specifically, we consider collocation schemes based on multiscale decompositions of piecewise...
Multiscale Decompositions on Bounded Domains (1997)
A. Cohen, W. Dahmen, R. Devore
A construction of multiscale decompositions relative to domainsOmega ae IR d is given. Multiscale spaces are constructed onOmega which retain the important features of univariate multiresolution...
Multiscale Decompositions on Bounded Domains (1997)
A. Cohen, W. Dahmen, R. Devore
A construction of multiscale decompositions relative to domainsOmega ae IR d is given. Multiscale spaces are constructed onOmega which retain the important features of univariate multiresolution...
Multiscale Decompositions on Bounded Domains (1996)
A. Cohen, W. Dahmen, R. Devore
A construction of multiscale decompositions relative to domainsOmega ae IR d is given. Multiscale spaces are constructed onOmega which retain the important features of univariate multiresolution...
Local Decomposition of Refinable Spaces and Wavelets (1996)
J. M. Carnicer, W. Dahmen, J. M. Pe~na
A convenient setting for studying multiscale techniques in various areas of applications is usually based on a sequence of nested closed subspaces of some function space F which is often referred to...
A hierarchical approach to force field calculations through spline approximations (1994)
Butzlaff,M., Dahmen,W., Diekmann,Stephan, Dress,A., Schmitt,E., Von Kitzing,Eberhard
A hierarchical approach to force field calculations through spline approximations (1994)
Butzlaff, M., Dahmen, W., Diekmann, Stephan, Dress, A., Schmitt, E., Von Kitzing, Eberhard