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chapter1/nitsche.ipynb

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"# Weak imposition of Dirichlet conditions for the Poisson problem\n",
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"Author: Jørgen S. Dokken\n",
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"\n",
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"In this section, we will go through how to solve the Poisson problem from the [Fundamentals](fundamentals.ipynb) tutorial using Nitsche's method {cite}`Nitsche1971`.\n",
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"In this section, we will go through how to solve the Poisson problem from the [Fundamentals](./fundamentals_code.ipynb) tutorial using Nitsche's method {cite}`Nitsche1971`.\n",
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"The idea of weak imposition is that we add additional terms to the variational formulation to impose the boundary condition, instead of modifying the matrix system using strong imposition (lifting).\n",
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"\n",
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"We start by importing the required modules and creating the mesh and function space for our solution"
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.10.6"
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"version": "3.10.12"
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}
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},
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"nbformat": 4,

chapter1/nitsche.py

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# extension: .py
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# format_name: light
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# format_version: '1.5'
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# jupytext_version: 1.14.7
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# jupytext_version: 1.15.2
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# kernelspec:
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# display_name: Python 3 (ipykernel)
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# language: python
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# # Weak imposition of Dirichlet conditions for the Poisson problem
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# Author: Jørgen S. Dokken
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#
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# In this section, we will go through how to solve the Poisson problem from the [Fundamentals](fundamentals.ipynb) tutorial using Nitsche's method {cite}`Nitsche1971`.
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# In this section, we will go through how to solve the Poisson problem from the [Fundamentals](./fundamentals_code.ipynb) tutorial using Nitsche's method {cite}`Nitsche1971`.
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# The idea of weak imposition is that we add additional terms to the variational formulation to impose the boundary condition, instead of modifying the matrix system using strong imposition (lifting).
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#
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# We start by importing the required modules and creating the mesh and function space for our solution

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