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Karlstad University

Partial Differential Equations and the Finite Element Method

Weak derivatives and Sobolev space. Compactness. Embedding and trace theorems. Weak formulations and weak solutions to elliptic partial differential equations. Lax-Milgram's lemma. Existence and uniqueness in weak solutions. Weak maximum principles. Finite element method. Ritz projections. Derivation of a priori…

  • Higher education
  • Information unavailable
  • 31 August 2026
  • Karlstad
  • Information unavailable
  • 25 %

Overview

Weak derivatives and Sobolev space. Compactness. Embedding and trace theorems. Weak formulations and weak solutions to elliptic partial differential equations. Lax-Milgram's lemma. Existence and uniqueness in weak solutions. Weak maximum principles. Finite element method. Ritz projections. Derivation of a priori and a posteriori error estimations with explicit convergence speed. Students carry out an individual project.

Admission scores

Uppgift saknasVerified data is not connected to this education offering.

Entry requirements

90 ECTS credits in Mathematics and upper secondary level English 6 or B, or equivalent

The text is reproduced from the Susa source. Antagningsdata does not map GY11 and GY25 or assess personal eligibility.

Source, measure and data quality
Source
Skolverket Susa-navet
Period
2026-08-31
Measure
Entry-requirement text reproduced from the published Susa data; no personal eligibility assessment is made.
Population
Education offering e.uoh.kau.maad20.55137.20262
Last checked
2026-09-23T10:37:56.839657+00:00
Limitation
Antagningsdata does not map GY11 and GY25. General and specific conditions are not separated without structured source data.

Programme content

Uppgift saknasVerified data is not connected to this education offering.

Study structure

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Application and important dates

  1. Programme or course starts
  2. Programme or course ends

Salary and salary distribution

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Common occupations after graduation

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Students

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Geographical background

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Previous upper-secondary schools and programmes

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Completion and outcomes

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About the provider

Karlstad University

Provider for the published education offering.

Sources and data quality

Education facts for the selected offering come from Skolverket Susa-navet.

Retrieved . Published . Times are shown in Swedish local time.

Source identity and publication version
Publication version
8e217193-f5fa-4778-b085-a4521fd03e8d
Education identity in the source
i.uoh.kau.maad20.55137.20262
Offering identity in the source
e.uoh.kau.maad20.55137.20262
Education-form source code
HS
Education code in the source
MAAD20
Change time according to the source
2026-03-03T14:13:41

The provider, education and education offering are separate identities. Application information should be checked on the official website. Supplementary statistics have not been obtained from this source.