Sökning: "monotone operators"

Visar resultat 1 - 5 av 22 avhandlingar innehållade orden monotone operators.

1. 1. G-convergence and homogenization for some monotone operators with multiple scales

   Författare :Liselott Flodén; Mittuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; G-convergence; homogenization; monotone operators; multiscale convergence; parabolic equations; MATHEMATICS; MATEMATIK;

   Sammanfattning : This thesis deals with questions concerning the convergence of sequences of functions and operators. G-convergence is studied for elliptic and parabolic equations and the necessary investigations of the properties of certain monotone operators are made. LÄS MER

3. 2. Reiterated homogenization and G-convergence for some sequences of monotone operators

   Författare :Marianne Olsson; Mårten Gulliksson; Anders Holmbom; Nils Svanstedt; Mittuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Homogenization; G-convergence; Multiple scales; Monotone operators; MATHEMATICS; MATEMATIK;

   Sammanfattning : In this thesis, the main focus is on G-convergence and homogenization of monotone parabolic equations with multiple scales. This kind of equation is examined with respect to existence and uniqueness of the solution, in view of the properties of some monotone operators. LÄS MER

4. 3. G-Convergence and Homogenization of some Sequences of Monotone Differential Operators

   Författare :Liselott Flodén; Anders Holmbom; Nils Svanstedt; Mårten Gulliksson; Björn Birnir; Mittuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; G-convergence; Homogenization; Multiscale convergence; Two-scale convergence; Monotone opertors; Functional analysis; Partial differential equations; Mathematical analysis; Analys;

   Sammanfattning : This thesis mainly deals with questions concerning the convergence of some sequences of elliptic and parabolic linear and non-linear operators by means of G-convergence and homogenization. In particular, we study operators with oscillations in several spatial and temporal scales. LÄS MER

5. 4. G-Convergence and Homogenization of some Monotone Operators

   Författare :Marianne Olsson; Anders Holmbom; Nils Svanstedt; Mårten Gulliksson; Jan Françu; Mittuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; G-convergence; homogenization; two-scale convergence; MATHEMATICS; MATEMATIK;

   Sammanfattning : In this thesis we investigate some partial differential equations with respect to G-convergence and homogenization. We study a few monotone parabolic equations that contain periodic oscillations on several scales, and also some linear elliptic and parabolic problems where there are no periodicity assumptions. LÄS MER

7. 5. Fixed Point Iterations for Finite Sum Monotone Inclusions

   Författare :Martin Morin; Institutionen för reglerteknik; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; monotone inclusions; operator splitting;

   Sammanfattning : This thesis studies two families of methods for finding zeros of finite sums of monotone operators, the first being variance-reduced stochastic gradient (VRSG) methods. This is a large family of algorithms that use random sampling to improve the convergence rate compared to more traditional approaches. LÄS MER