From 78798060f3484eb48e0d5a02a6d3c29162bf09fb Mon Sep 17 00:00:00 2001 From: Andrew Mitchell Date: Sat, 6 Apr 2024 13:43:06 +0100 Subject: [PATCH 1/3] Fix bug with single abstract This commit aims to fix https://github.com/LaPreprint/typst/issues/3#issue-2229222084 by adding a check to catch a string abstract and by ensuring an array is returned when a single abstract is provided. --- lapreprint.typ | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/lapreprint.typ b/lapreprint.typ index fde21dd..895d1ec 100644 --- a/lapreprint.typ +++ b/lapreprint.typ @@ -267,8 +267,8 @@ let abstracts - if (type(abstract) == "content") { - abstracts = (title: "Abstract", content: abstract) + if (type(abstract) == "content" or type(abstract) == "string") { + abstracts = ((title: "Abstract", content: abstract),) } else { abstracts = abstract } From 05e2534926b8f244c058810aff8432f05228a65b Mon Sep 17 00:00:00 2001 From: Andrew Mitchell Date: Sun, 7 Apr 2024 00:52:39 +0100 Subject: [PATCH 2/3] add linebreak before authors When the author list is to short, the authors are displayed on the same line as the title. This patch adds a linebreak before the authors, so that the authors are displayed on a new line. --- lapreprint.typ | 1 + 1 file changed, 1 insertion(+) diff --git a/lapreprint.typ b/lapreprint.typ index 895d1ec..5e88563 100644 --- a/lapreprint.typ +++ b/lapreprint.typ @@ -196,6 +196,7 @@ parbreak() box(text(14pt, fill: gray.darken(30%), subtitle)) } + linebreak() // Authors and affiliations if authors.len() > 0 { box(inset: (y: 10pt), { From 975f275c151ca47a8b504013fb6d792ad9a75f90 Mon Sep 17 00:00:00 2001 From: Andrew Mitchell Date: Sun, 4 Aug 2024 10:09:13 +0100 Subject: [PATCH 3/3] eqn references --- .gitignore | 1 + examples/pixels/main.pdf | Bin 1500131 -> 1505424 bytes examples/pixels/main.typ | 4 ++-- 3 files changed, 3 insertions(+), 2 deletions(-) diff --git a/.gitignore b/.gitignore index 3e72945..2e2d95e 100644 --- a/.gitignore +++ b/.gitignore @@ -1 +1,2 @@ lapreprint.pdf +.DS_Store diff --git a/examples/pixels/main.pdf b/examples/pixels/main.pdf index 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We want to work with a single scalar equation, allow for anisotropic physical properties, and potentially work with non-axis-aligned meshes - how do we do this?! We can use the *weak formulation* where we take the inner product ($integral arrow(a) dot.op arrow(b) d v$) of the equation with a generic face function, $arrow(f)$. This reduces requirements of differentiability on the original equation and also allows us to consider tensor anisotropy or curvilinear meshes. +@eq:div is a vector equation, so really it is two or three equations involving multiple components of $arrow(j)$. We want to work with a single scalar equation, allow for anisotropic physical properties, and potentially work with non-axis-aligned meshes - how do we do this?! We can use the *weak formulation* where we take the inner product ($integral arrow(a) dot.op arrow(b) d v$) of the equation with a generic face function, $arrow(f)$. This reduces requirements of differentiability on the original equation and also allows us to consider tensor anisotropy or curvilinear meshes. In @fig-weak-formulation, we visually walk through the discretization of equation (b). On the left hand side, a dot product requires a _single_ cartesian vector, $bold(j_x comma j_y)$. However, we have a $j$ defined on each face (2 $j_x$ and 2 $j_y$ in 2D!). There are many different ways to evaluate this inner product: we could approximate the integral using trapezoidal, midpoint or higher order approximations. A simple method is to break the integral into four sections (or 8 in 3D) and apply the midpoint rule for each section using the closest $bold(j)$ components to compose a cartesian vector. A $bold(P)_i$ matrix (size $2 times 4$) is used to pick out the appropriate faces and compose the corresponding vector (these matrices are shown with colors corresponding to the appropriate face in the figure). On the right hand side, we use a vector identity to integrate by parts. The second term will cancel over the entire mesh (as the normals of adjacent cell faces point in opposite directions) and $phi$ on mesh boundary faces are zero by the Dirichlet boundary condition. This leaves us with the divergence, which we already know how to do!